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) = ?
red | blue | green | yellow
----------------------------------------
20 | 10 | 9 | 11
(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?
outcome|HH | TH | HT | TT
--------------------------
landed |28 |22 |34 | 16
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 <----------------------
am i correct.
Just to let you know, i am really bad at math:(
Kindly read responses to your previous posts before reposting.
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2) A
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4) B
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Alll of those are right except number ten its A
1. To find the experimental probability of an event, you need to divide the number of times the event occurred by the total number of trials. In this case, you want to find the experimental probability of not getting red. Looking at the table, you can see that the number of times not red occurred is 10 + 9 + 11 = 30. The total number of trials is given as 50. So, the experimental probability of not getting red is 30/50 = 0.6. Therefore, the correct answer is a) 0.6.
2. Similar to the first question, to find the experimental probability of an event, you need to divide the number of times the event occurred by the total number of trials. In this case, the event is rolling a 4, which occurred 8 times out of 20 trials. So, the experimental probability of rolling a 4 is 8/20 = 0.4. Therefore, the correct answer is b) 25%.
3. To compare the experimental probability of an event to the theoretical probability, you need to calculate both probabilities and then compare them. The experimental probability of getting at least one tails can be found by adding up the number of times tails occurred (22 + 34 + 16 = 72) and dividing it by the total number of trials (28 + 22 + 34 + 16 = 100). So, the experimental probability is 72/100 = 0.72. The theoretical probability of getting at least one tails can be found by subtracting the probability of getting no tails from 1. The probability of getting no tails is the probability of getting all heads, which is 28/100 = 0.28. Therefore, the theoretical probability of getting at least one tails is 1 - 0.28 = 0.72. This means that the experimental probability is equal to the theoretical probability. Therefore, the correct answer is c) The experimental probability is equal to the theoretical probability.
4. To find the expected number of times you should win, you need to multiply the probability of winning (15% or 0.15) by the number of times you play (20). So, the expected number of times to win is 0.15 * 20 = 3. Therefore, the correct answer is b) 3 times.
5. To find the expected number of winning tickets, you need to multiply the probability of having a winning ticket (20% or 0.20) by the number of tickets you bought (50). So, the expected number of winning tickets is 0.20 * 50 = 10. Therefore, the correct answer is d) 10 tickets.
6. To predict the number of defective toys in a shipment of 24,000, you can set up a proportion based on the sample. The proportion can be set up as follows:
(5 defective toys) / (600 toys) = (x defective toys) / (24,000 toys)
Cross-multiplying gives:
5 * 24,000 = 600 * x
x = (5 * 24,000) / 600 = 200
Therefore, the predicted number of defective toys in a shipment of 24,000 is 200. So, the correct answer is c) 200 toys.
7. Independent events are events where the outcome of one event does not affect the outcome of the other event. Rolling two number cubes is an example of independent events because the outcome of one roll does not affect the outcome of the other roll. Therefore, the correct answer is A) rolling two number cubes.
8. To find the probability of two events happening in sequence, you need to multiply their individual probabilities. In this case, you want to find the probability of drawing an apple, then an apricot with replacement. The probability of drawing an apple is 4/10 (since there are 4 apples out of a total of 10 fruits) and the probability of drawing an apricot is 2/10. So, the probability of drawing an apple, then an apricot with replacement is (4/10) * (2/10) = 8/100 = 2/25. Therefore, the correct answer is b) 2/25.
9. P(H, H, H) represents the probability of getting heads three times in a row, and P(H, T, H) represents the probability of getting heads, tails, then heads. If you flip a fair coin, the probability of getting heads is 1/2, and the probability of getting tails is also 1/2. The order of the flips does not affect the probabilities. Therefore, the probabilities P(H, H, H) and P(H, T, H) are the same, and the correct answer is c) The probabilities are the same.
10. To find the probability of two events happening at the same time, you need to multiply their individual probabilities. In this case, you want to find the probability of flipping heads and rolling a number less than 5. The probability of flipping heads is 1/2, and the probability of rolling a number less than 5 is 4/6 (since there are four numbers less than 5 on a number cube). So, the probability of flipping heads and rolling a number less than 5 is (1/2) * (4/6) = 4/12 = 1/3. Therefore, the correct answer is A) 1/3.
From the explanations provided, it appears that some of your answers are correct while others are not. To determine if you are correct overall, you will need to compare your answers to the correct answers provided above.