# A fair tetrahedral die (with face 1,2,3 and 4)and a fair coin are tosses together Construct a table of sample space of a random experiment Use your sample space to.find the probability that (1):a tail and an odd number show

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1. ## Probability

We have a red coin, for which P(Heads)=0.4, a green coin, for which P(Heads)=0.5 and a yellow coin for which P(Heads)=0.6. The flips of the same or of different coins are independent. For each of the following situations, determine whether the random

2. ## Math

Determine the probability of 3 sixes in 5 tosses on a fair die.

3. ## math probability

A fair tetrahedral die (with face 1,2,3 and 4)and a fair coin are tosses together Construct a table of sample space of a random experiment Use your sample space to.find the probability that (1):a tail and an odd number show up (2):a head and a square show

4. ## Geometry

You flip a coin and then roll a fair six-sided die. What are the chances you flipped heads and rolled an even number on the die?

5. ## algebra

you flip a coin and then roll a fair six-sided die.what is the probability the coin lands heads and the die shows a one.

6. ## Mathematics

Jason is tossing a fair coin. He tosses the coin ten times and it lands on heads eight times. If Jason tosses the coin an eleventh time, what is the probability it lands on heads?

7. ## Probability

You are given 4 to 1 odds against tossing 2 tails and in 2 tosses of a fair coin. This means that you win \$4 if you succeed and you lose \$1 if you fail. Find the expected value(toyou) of the game. Round to nearest cent.

8. ## Statistics

An Experiment consists of flipping a fair coin once and rolling a fair die once. what is the probability of observing a hear or six?

9. ## Math-Fair Game question

the game of dots is played by rolling a fair die and receiving 1\$ for each dot showing on the top face of the die. What cost should be set for each roll if the game is to be considered a fair game?

10. ## Math

The table below shows the number of marbles of different colors in a box. A fair coin is shown below the table. Color of Marble Number Red 10 Blue 1 Green 5 Pink 4 A coin Dan selects a marble from the box randomly without looking and then tosses the fair

11. ## common fraction

Sara tossed a fair coin five times, and Kaleb tossed a fair coin three times. There were five heads and three tails in the eight tosses. What is the probability that either Sara or Kaleb tossed exactly three heads? Express your answer as a common fraction.

12. ## algebra 2

A fair coin is tossed 4 times. Given that each of the first 3 tosses land tails up, what is the probability that all 4 tosses land tails up?

13. ## Math

Find the probability of tossing exactly 2 heads on 3 tosses of a fair coin.

14. ## Mathematics

f Melanie tosses a fair coin and rolls a fair number cube labeled 1 through 6, what is the probability of tossing heads followed by rolling a number less than 5?

15. ## Statistics

What is the probability that 15 tosses of a fair coin will show 8 tails? Round the answer to four decimals places as needed.

16. ## Math

Jennifer has a fair coin and a wooden cube. On the cube, there are two faces colored green, two faces colored blue, and two faces colored red. Jennifer flips the coin and tosses the cube. What is the probability of getting both tail on the toss of the coin

17. ## Math

Anna and bob play a game in which Anna begins by rolling a fair dice, after which bob tosses a fair coin. They take turns until one of them wins. Anna wins when she rolls a 6. Bob wins when the coin lands on heads. What is the probability that Anna will

18. ## math fair

The game of dots is played by rolling a fair die and receiving \$1 for each dot showing on the top face of the die. What cost should be set for each roll if the game is to be considered a fair game?

19. ## mathmetics

glenn roles a fair dice and flips a fair coin what is the probablity of obtaining a number less than 2 and a head

20. ## mathmetics

ger spins a fair spinner and flips a fair coin what is the probablity of obtaining a factor of 15 and a tail

21. ## math

Find the probability of the following events in eleven tosses of a fair coin using binomial probability? a. Exactly 4 heads up b. at least 9 heads up

22. ## Math

A carnival game consists of rolling a single fair die, with the following results: you win \$8 for a 6, \$7 for a 5, and lose \$3 for any other number. Set a probability distribution, and calculate (already did) the Expected value = .50 Variance= 24.58

23. ## Probability

Compute E(X) for the following random variable X : X=Number of tosses until getting 4 (including the last toss) by tossing a fair 10-sided die. E(X)=

24. ## Math/Probability

Q. If tossing a fair coin, how many tosses does it take to get two heads in a row, on average? _________________________________________________ I was a bit unsure about what 'on average' meant. I'm a bit unsure about what I tried: I considered cases of

25. ## math

A fair coin is flipped independently until the first Heads is observed. Let the random variable K be the number of tosses until the first Heads is observed plus 1. For example, if we see TTTHTH, then K= 5. For k = 1,2,...,K, let Xk be a continuous random

26. ## maths

Let Y be the difference between the number of heads and the number of tails in the 3 tosses of a fair coin. (a) Plot the cdf of the random variable Y. (b) Express P[|Y|

27. ## math

Consider the experiment of simultaneously tossing a fair coin and rolling a fair die. Let X denote the number of heads showing on the coin and Y the number of spots showing on the die. a. List the outcomes in S. b. Find Fx,y(1,2). Part a is easy. It's part

28. ## mathematics

Peter has two fair tetrahedral (four sided) dice. The faces on each die are labeled l, 2, 3 and 4. One die is red and another is blue. Peter throws each die once. The random variable X is the sum of the numbers on which the dice land. a) Construct a

29. ## Math

The game of dots is played by rolling a fair die and receiving \$1 for each dot showing on the top face of the die. What cost should be set for each roll if the game is to be considered a fair game?

30. ## MATH Prob.

The game of dots is played by rolling a fair die and receiving \$1 for each dot showing on the top face of the die. What cost should be set for each roll if the game is to be considered a fair game?

31. ## Math

The game of dots is played by rolling a fair die and receiving \$1 for each dot showing on the top face of the die. What cost should be set for each roll if the game is to be considered a fair game?

32. ## Math

The game of dots is played by rolling a fair dice and receiving \$1 for each dot showing on the top face of the die. What cost should be set for each roll if the game is to be considered a fair game?

33. ## maths

1) find the mean number of heads in 3 tosses of a fair coin?

34. ## maths

find the mean number of heads in 3 tosses of a fair coin?

35. ## mat

Marcus flips a coin and tosses a six-sided die with the sides numbered 1 through 6. What is the probability that he gets a head on the coin and a number divisible by 3 on the die

36. ## Statistics

3. The following table lists the frequency distribution for 60 rolls of a die. Outcome 1-spot 2-spot 3-spot 4-spot 5-spot 6-spot Frequency 7 12 8 15 11 7 Using the “Goodness of Fit” test at the 5% level of significance, test whether the null hypothesis

37. ## statistics

your teacher has invented a fair dice game to play. your teacher will roll one fair eight sided die and you will roll a fair six sided die. each player rolls once and the winner is the person with the higher number. in case of a tie neither player wins. a.

38. ## probability

Let be the number of Heads in 100 tosses of the red coin, followed by 100 tosses of the green coin, followed by 100 tosses of the yellow coin (for a total of 300 tosses).

39. ## probability with casework

Markov plays a game for three turns. On each turn, he either rolls a fair, six sided die or flips a fair coin. If he rolls a 1 or 2 on the die, he will switch to the coin on the next turn, and if he flips a tails on the coin, he will switch to the die on

40. ## Math

The game of dots is played by rolling a fair die and receiving \$1 for each dot showing on the top face of the die. What cost should be set for each roll if the game is to be considered a fair game?

41. ## Data Management Help!

A coin was tossed 1000 times in an experiment to decide whether it really had an equal chance of coming up heads or tails. The decision was made in advance to declare the coind NOT FAIR if the observed outcome of the experiment had less than a 5% chance of

42. ## statistics

in 1000 tosses of a coin, 560 heads & 440 tails appear. is it reasonable to assume that coin is fair.

43. ## maths

find the mean number of heads in 3 tosses of a fair coin?

44. ## Math Finite

Experiment: roll a fair die and flip a fair coin. What is the probability is that you roll a 3 and flip a head?

45. ## Math

Compute E(X) for the following random variable X : X=Number of tosses until getting 4 (including the last toss) by tossing a fair 10-sided die.

46. ## Math/Probability

Anna and bob play a game in which Anna begins by rolling a fair dice, after which bob tosses a fair coin. They take turns until one of them wins. Anna wins when she rolls a 6. Bob wins when the coin lands on heads. What is the probability that Anna will

47. ## statistics

Let X represent the outcome of a single roll of a fair die. Suppose you will win \$2 if the outcome is either 2 or 5, and lose \$1 otherwise. What are your expected winnings in 20 tosses?

48. ## statistics

Use the normal dist to approx the desired prob. Find the prob of getting at most 30 fives in 200 tosses of a fair 6 sided die

49. ## Math Statistics

3. Suppose 20% of all heart transplant patients do not survive the operation. a. Think about taking repeated random samples of 371 patients from this population. Describe how the sample proportion who die would vary from sample to sample. (Hint: Be sure to

50. ## math (statistics)

an experiment consistbnof tossing a die and then flipping a coin once if the number on the die is even. If the number on the die is odd, the coin is flipped twice. Using the notation 4H, for example to denote an event that die comes up 4 and then the coin

51. ## Math 157

The game of dots is played by rolling a fair die and receiving \$1 for each dot showing on the top face of the die. What cost should be set for each roll if the game is to be considered a fair game?

52. ## Math

The game of dots is played by rolling a fair die and receiving \$1 for each dot showing on the top face of the die. What cost should be set for each roll if the game is to be consdiered a fair game?

53. ## math

The game called dots is played by rolling a fair die and receiving 1\$ for each dot showing on the top face of the die. What cost should be set for each roll if the game is to be considered a fair game? Not a clue on this one.

54. ## Data management

A coin was tossed 1000 times in an experiment to decide whether it really had an equal chance of coming up heads or tails. The decision was made in advance to declare the coind NOT FAIR if the observed outcome of the experiment had less than a 5% chance of

55. ## Probability

Suppose that we have a box that contains two coins: A fair coin: P(H)=P(T)=0.5 . A two-headed coin: P(H)=1 . A coin is chosen at random from the box, i.e. either coin is chosen with probability 1/2 , and tossed twice. Conditioned on the identity of the

56. ## Statistics

A gambling game works as follows: you flip a fair coin and roll a fair six-sided die. You will be paid \$2 if you roll a 6 and \$1 if you get a head and an odd number of spots. Otherwise, you have to pay \$2.50. a) What is the probability of rolling a die

57. ## Math

Your friend tosses three coins and you roll a single die. If the number on the die you roll is less than or equal to the number of heads that your friend tosses, you win \$X. If not, you lose \$1. How large should X be in order for this to be a fair game?

Your friend tosses 3 coins and you roll a single die. If the number on the die you roll is less than or equal to the number of heads that your friend tosses, you win \$X. If not, you lose \$1. How large should X be in order for this to be a fair game?

59. ## math

Your friend tosses three coins and you roll a single die. If the number on the die you roll is less than or equal to the number of heads that your friend tosses, you win \$X. If not, you lose \$1. How large should X be in order for this to be a fair game?

60. ## Math Calculus

Your friend tosses three coins and you roll a single die. If the number on the die you roll is less than or equal to the number of heads that your friend tosses, you win \$X. If not, you lose \$1. How large should X be in order for this to be a fair game?

61. ## Probability

What is the probability that you get at least one head in 4 tosses of a fair coin? 15/16, 3/4, 1/2, or 1/16?

62. ## Math

Would you be more likely to get at least 70% tails if you flip a fair coin 10 times or if you flip a fair coin 1000 times? A) You would be more likely to get at least 70% tails if you flip a fair coin 10 times than if you flip a fair coin 1000 times. B)

63. ## probability ,mathematics

Compute E(X) for the following random variable X : X=Number of tosses until getting 4 (including the last toss) by tossing a fair 10-sided die. E(X)=...............

64. ## Finite Math

John has three coins in his pocket. One is fair, one has two heads, and the third is unbalanced, showing head 60% of the time. John grabs a coin at random and tosses it. Find the probability that: 1) The coin shows a head 2) The coin is regular, give that

65. ## Statics

You wish to test whether or not a coin is fair, so you toss it 400 times and obtain 220 heads. Test the null hypothesis that the coin is fair and balanced against the alternative that it is not fair and balanced. Use the 1% significance level. Be sure to

66. ## Math

If you toss a fair coin and you toss until a head is followed by a tail. What is the probability that at least 5 tosses are needed for this to occur?

67. ## Math

The game of dots is played by rolling a fair die and receiving \$1 for each dot showing on the top face of the die. What cost should be set for each roll if the game is to be considered a fair game? Answer: The equally likely outcomes of each roll are

68. ## statistics

Use of normal distribution to approximate the desired probability. Find the probability of getting at least 30 fives in 200 tosses of a fair 6 sided die.

69. ## math

Robin tosses a fair coin and then draws a ball from a bag that contains one red, one blue, and one green ball. What are the possible outcomes for the experiment? Explain your answer.

4.why is ectourism better for the environment than traditional tourism? A.it changes native cultures B.there is a shortage of clean water C.traditional tourism only highlights beaches D.ecotourism uses few natural resources 4.A 5.C 5.Which of the following

71. ## maths

A fair die is toss six times. Defined a random variable as an odd number that appeared. Find the probability that exactly four of the tosses showed an odd number.

72. ## math

a fair die is tossed 180 times. Find the probability P that the face 6 will appear between 29 and 32 times inclusive.

73. ## math

A fair coin is flipped independently until the first Heads is observed. Let the random variable K be the number of tosses until the first Heads is observed plus 1. For example, if we see TTTHTH, then K=5 . For k=1,2,…,K , let Xk be a continuous random

74. ## maths-probability

A fair tetrahedral die (with face 1,2,3 and 4)and a fair coin are tosses together Construct a table of sample space of a random experiment Use your sample space to.find the probability that (1):a tail and an odd number show up (2):a head and a square show

75. ## probability

urgent till 3 pm i have in colombia¡ 1 Alice has five coins in a bag: two coins are normal (i.e., fair with one face Heads and the other face Tails), two are double-headed (i.e., both sides are Heads), and the last one is double-tailed (i.e., both sides

76. ## MATH

Write down the following events as sets and also write the corresponding sample space.(1)an odd appears in a single toss of a fair die.(2)at least one head appears in two tosses of a fair coin.

77. ## Probability

Alice has five coins in a bag: two coins are normal (i.e., fair with one face Heads and the other face Tails), two are double-headed (i.e., both sides are Heads), and the last one is double-tailed (i.e., both sides are Tails). She reaches into the bag and

78. ## math

The game of dots is played by rolling a fair die and receiving \$1 for each dot showing on the top face of the die. What cost should be set for each roll if the game is to be considered a fair game?

79. ## math

The game of dots is played by rolling a fair die and receiving \$1 for each dot showing on the top face of the die. What cost should be set for each roll if the game is to be considered a fair game?

80. ## Math

The game of dots is played by rolling a fair die and receiving \$1 for each dot showing on the top face of the die. What cost should be set for each roll if the game is to be considered a fair game?

81. ## maths (statistics)

A coin is constructd such dt tail cn appear 4 time as likely as d head appear. Dis coin is tossd wit a fair die. Define X= no of head on coin + no of head on die. 1. Wryt out d sample space 2. Whts d prob. Of X is 14. 3. Pr(X=14)

82. ## Calculus

Steve thinks that he has a fair coin with equal probability of landing head or tails. He is ready to change his mind if in a long enough series of flips the coin will land on the same side. Steve decided that "long enough" means the probability of a fair

83. ## statistics

Can some one please help with this question? Find the probability that in FOUR tosses of a fair die a 3 appears a)exactly no (zero)time b)exactly three times

84. ## probability

if you draw one card from the deck then roll fair dice and finally flip one fair coin what is the probability that you get an even numbered card or heads on the coin or both?

85. ## math

When rolling a die once and tossing a fair coin once, all of the following are possible outcomes except which one? 1. 6H 2. 4T 3. HT 4. 1H

86. ## math

Marcus flips a coin and tosses a six-sided die with the sides numbered 1-6. What is the probaility that he gets a head on the coin and a number divisible by 3 on the die?

87. ## math

a perso increases the number of tosses of a fair coin the actual number of heads will get farther and farther away from the number of tosses divided by 2

88. ## math

1. what is the probability of getting exactly one heads from three coin tosses? is the answer 1/8? 2. what is the probability that a fair coin will land heads up three times in a row? is the answer 3/2?

89. ## maths

Suppose there are 10 coins laid out in front of you. All of the coins are fair (i.e. have an equal chance of heads or tails) except one, which flips to heads every time. You draw one coin at random and flip it 5 times. If each of the 5 flips results in

4.C 5.B 4.why is ectourism better for the environment than traditional tourism? A.it changes native cultures B.there is a shortage of clean water C.traditional tourism only highlights beaches D.ecotourism uses few natural resources 5.Which of the following

4.B 5.A 4.why is ectourism better for the environment than traditional tourism? A.it changes native cultures B.there is a shortage of clean water C.traditional tourism only highlights beaches D.ecotourism uses few natural resources 5.Which of the following

92. ## Probability

Suppose that a fair die is tossed. What is the expected number of spots on the uppermost face of the die when it comes to rest? Will this number of spots ever be seen when the die is tossed?

93. ## math

the brown family boarded a train at 3:55 P.M. to go home from the county fair. it took them 25 minutes to get to the train station from the fair. they spent 75 minutes at the fair. what time did they arrive at the fair

94. ## Probability

Bob has two coins, A and B, in front of him. The probability of Heads at each toss is p=0.5 for coin A and q=0.9 for coin B. Bob chooses one of the two coins at random (both choices are equally likely). He then continues with 5 tosses of the chosen coin;

95. ## Statistics

A die that is fair will have each face of the die come up one-sixth of the time in the long run. The population for die throwing contains the results of throwing the die an infinite number of times. For this problem, the parameter of interest is p is the

96. ## Statistics and Probability

One six-sided fair die is rolled, and one two-sided fair coin is tossed. If the coin turns up heads, then the number of spots showing on the die is the value (score) for that trial. If the coin is tails then twice the number of spots showing on the die is

97. ## math

a fair coin is tossed in the air 4 times. if the coin lands heads up the first three tosses, what is the probability the coin will land heads up the fourth toss? I think it is 1/2 because the coin has 2 sides and 50% it will land on heads. My friend thinks

98. ## math

consider the equation x^2+kx+1=0 a single fair die(dice)is rolled to determine the value of the middle coefficient, k. the value for k is the number of dots on the upper face of the die. what is the probability that the equation will have real, unequal

99. ## Statistics

In a game you roll two fair dice. If the sum of the two numbers obtained is 3,4,9,10 or 11 you win \$20. If the sum is 5,6,7 or 8 you pay \$20. However if the scores on the dice are the same no one is required to pay. (a) Construct a probability distribution

100. ## math

a fair of die is tossed 180 times. Find the probability P that the face 6 will appear between 29 and 32 times inclusive?