1. The table shows the results of spinning a four-colored spinner 50 times. Find the experimental probability and express it as a decimal.
P(not red) = ?
(1 point)
a 0.6
b 0.4
c 0.2
d 0.3
2. You roll a number cube 20 times. The number 4 is rolled 8 times. What is the experimental probability of rolling a 4? (1 point)
a 40%
b 25%
c 20%
d 17%
3. The table below shows the results of flipping two coins. How does the experimental probability of getting at least one tails compare to the
theoretical probability of getting at least one?
A The experimental probability is 3% greater than the theoretical probability.
B The theoretical probability is 3% greater than the experimental probability.
C The experimental probability is equal to the theoretical probability.
D The experimental probability is about 1% less than the theoretical probability.
4. The probability of winning a game is 15%. If you play 20 times, how many times should you expect to win? (1 point)
a 5 times
b 3 times
c 6 times
d 15 times
5. The probability of having a winning raffle ticket is 20%. If you bought 50 tickets, how many winning tickets should you expect to have?
a 5 tickets
b 3 tickets
c 8 tickets
d 10 tickets
6. A company finds 5 defective toys in a sample of 600. Predict how many defective toys are in a shipment of 24,000.
a 40 toys
b 166 toys
c 200 toys
d 20 toys
7. Which of the following is an example of independent events?
A rolling two number cubes
B selecting marbles from a bag without
replacement after each draw
C choosing and eating a piece of candy from a dish and then choosing another piece of candy
D Pulling a card from a deck when other players have already pulled several cards from that deck
8. A bag of fruit contains 4 apples, 1 plum, 2 apricots, and 3 oranges. Pieces of fruit are drawn twice with replacement. What is P(apple, then
apricot)? (1 point)
a 4/5
b 2/25
c 3/25
d 3/5
9. A coin is flipped three times. How the does P(H, H, H) compare to P(H, T, H)? (1 point)
A. P(H, H, H) is greater than P(H, T, H)
B.P(H, T, H) is greater than P(H, H, H).
c.The probabilities are the same.
d.There is no way to tell with the information given.
10. A coin is tossed and a number cube is rolled. What is P(heads, a number less than 5)? (1 point)
A 1/3
B 5/12
C 2/3
D 5/6
math Study guide - MathMate, Friday, June 6, 2014 at 7:29pm
What do you think for each of the problems?
1)c
2)d
3)B
outcome|HH | TH | HT | TT
--------------------------
landed |28 |22 |34 | 16
4)c
5)a
6)a
7)a
8)a
9)B
10)D
am i correct?
1. no idea, do not have data
2. I get 8/20 = .40
3. again no data but in theory 3/4
4. 15/100 = 3/20
5. 20/100 = x/50 ???
Hey, are you just guessing or what?
Dragonn, you are not correct>
Let's go through each question to determine the correct answer:
1. The table shows the results of spinning a four-colored spinner 50 times. Find the experimental probability and express it as a decimal.
To find the probability of an event happening, we need to divide the number of favorable outcomes by the total number of possible outcomes. In this case, the number of times "not red" occurred would be the favorable outcomes. Looking at the table, we need to sum up the occurrences of all colors that are not red. Let's calculate it:
Experimental probability of not red = (Number of occurrences of not red) / (Total number of spins)
2. You roll a number cube 20 times. The number 4 is rolled 8 times. What is the experimental probability of rolling a 4?
To find the experimental probability, we need to divide the number of times the event occurred by the total number of trials. In this case, rolling a 4 would be the favorable outcome. Let's calculate it:
Experimental probability of rolling a 4 = (Number of times 4 was rolled) / (Total number of rolls)
3. The table below shows the results of flipping two coins. How does the experimental probability of getting at least one tail compare to the theoretical probability of getting at least one?
To compare experimental probability to theoretical probability, we need to calculate both probabilities. The experimental probability of getting at least one tail can be found by dividing the number of times at least one tail occurred by the total number of trials. The theoretical probability can be found by considering the number of possible outcomes that satisfy the condition divided by the total number of possible outcomes. Let's calculate and compare:
Experimental probability of getting at least one tail = (Number of occurrences of at least one tail) / (Total number of trials)
Theoretical probability of getting at least one tail = (Number of outcomes with at least one tail) / (Total number of possible outcomes)
4. The probability of winning a game is 15%. If you play 20 times, how many times should you expect to win?
To determine how many times you should expect to win, you need to multiply the probability of winning by the number of times you play. Let's calculate it:
Expected number of wins = (Probability of winning) * (Number of times played)
5. The probability of having a winning raffle ticket is 20%. If you bought 50 tickets, how many winning tickets should you expect to have?
Similar to the previous question, to determine the number of expected winning tickets, you need to multiply the probability of winning by the number of tickets bought. Let's calculate it:
Expected number of winning tickets = (Probability of winning) * (Number of tickets bought)
6. A company finds 5 defective toys in a sample of 600. Predict how many defective toys are in a shipment of 24,000.
To predict the number of defective toys in a larger shipment, we can use the concept of ratios or proportions. We can set up a proportion to solve for the unknown number of defective toys. Let's calculate it:
(Number of defective toys in sample) / (Total number of toys in sample) = (Number of defective toys in larger shipment) / (Total number of toys in larger shipment)
Calculate for the unknown number of defective toys in a larger shipment.
7. Which of the following is an example of independent events?
To determine if events are independent, we need to check if the outcome of one event affects the outcome of the other event. Let's analyze each context in the answer options to identify if they are independent or dependent.
8. A bag of fruit contains 4 apples, 1 plum, 2 apricots, and 3 oranges. Pieces of fruit are drawn twice with replacement. What is P(apple, then apricot)?
To find the probability of multiple events occurring in a specific order, we need to multiply the probabilities of each individual event. Let's calculate it:
P(apple, then apricot) = P(apple) * P(apricot)
Calculate for the probability.
9. A coin is flipped three times. How does P(H, H, H) compare to P(H, T, H)?
To compare probabilities, we need to calculate both probabilities. For each case, we need to find the probability of each outcome and then multiply them together. Let's calculate both probabilities and compare them.
10. A coin is tossed, and a number cube is rolled. What is P(heads, a number less than 5)?
To find the probability of multiple events occurring, we need to multiply the probabilities of each individual event. Let's calculate it:
P(heads, a number less than 5) = P(heads) * P(a number less than 5)
Calculate for the probability.
Once you have calculated the probabilities for each question, compare your answers to the options given to determine which options are correct.