Title: Probability of Independent Events Review
Course: quiz duplicate error

Q: If you flip a fair coin and roll a six-sided number cube, what is the probability of flipping heads and rolling a 2?

[Image] | [Image]
- [Image] (The probability of flipping heads is [Image], and the probability of rolling a 2 is [Image]. Since these represent independent events, the probability that both events will occur is [Image] [Image] = [Image].)
- [Image] (The probability of flipping heads is [Image], and the probability of rolling a 2 is [Image]. Since these represent independent events, the probability that both events will occur is [Image] [Image] = [Image].)
- [Image] (The probability of flipping heads is [Image], and the probability of rolling a 2 is [Image]. Since these represent independent events, the probability that both events will occur is [Image] [Image] = [Image].)
- [Image] (The probability of flipping heads is [Image], and the probability of rolling a 2 is [Image]. Since these represent independent events, the probability that both events will occur is [Image] [Image] = [Image].)
A: [Image]

Q: Gabe is a pitcher on the Eagles baseball team. For each batter that he faces, the probability that he will get the batter out is approximately 0.82. What is the probability that he will get the next 3 batters out during the ninth inning? Round your answer to the nearest thousandth if necessary.
- 0.551 (Each batter that Gabe faces in the ninth inning represents an independent event. To find the probability of getting the next 3 batters out, multiply the given probability by itself 3 times. [Image])
- 0.672 (Each batter that Gabe faces in the ninth inning represents an independent event. To find the probability of getting the next 3 batters out, multiply the given probability by itself 3 times. [Image])
- 0.82 (Each batter that Gabe faces in the ninth inning represents an independent event. To find the probability of getting the next 3 batters out, multiply the given probability by itself 3 times. [Image])
- 2.46 (Each batter that Gabe faces in the ninth inning represents an independent event. To find the probability of getting the next 3 batters out, multiply the given probability by itself 3 times. [Image])
A: 0.551

Q: Which describes independent events?
- You grab two jelly beans from a jar at the same time.
- You draw a card from a deck, replace it, and draw a second.
- You draw a card and do not replace it. Then you draw another.
- You study English every night, and then you get an A on the next test.
A: You draw a card from a deck, replace it, and draw a second.

Q: A drawer contains 2 red socks, 5 white socks, and 3 blue socks. Without looking, you select a sock at random, replace it, and select a second sock at random. What is the probability that the first sock is blue and the second sock is red?
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Two urns each contain green balls and blue balls. Urn I contains 3 green balls and 2 blue balls, and Urn II contains 3 green balls and 2 blue balls. A ball is drawn at random from each urn. What is the probability that both balls are blue?
- [Image]
- [Image]
A: [Image]

Q: Find the probability that 4 students chosen at random were all born on a Wednesday.
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: A local weather forecaster is accurate 80% of the time when predicting precipitation for the day. What is the probability that she will make correct precipitation predictions 2 days in a row? Round to the nearest whole percent.
- about 66%
- about 63%
- about 64%
- about 65%
A: about 64%

Q: The probability that Shania is on time for school is [Image]. Find the probability that Shania arrives on time for school for the next 5 days. Express your answer as a percent, to the nearest tenth of a percent.
- 13.8%
- 3.1%
- 50%
- 15.6%
A: 3.1%

Q: On a 9-question true-or-false test you randomly guess at the answers. What is the probability that you get all 9 answers correct? What is the probability that you get all 9 answers wrong?
- [Image]; [Image]
- [Image]; [Image]
- [Image]; [Image]
- [Image]; [Image]
A: [Image]; [Image]

If Anne rolls two six-sided number cubes at the same time, what is the probability that she will roll two odd numbers? Express your answer as a decimal. Round to the nearest thousandth if necessary.
[Image] [Image]

The Department of Natural Resources estimates that 32% of the fish in Bass Run Lake are large mouth bass. If each fish in the lake is equally likely to be caught, what is the probability that the next two fish caught will both be large mouth bass? Express your answer as a decimal rounded to the nearest thousandth if necessary.

Q: Two urns each contain green balls and blue balls. Urn I contains 3 green balls and 2 blue balls, and Urn II contains 3 green balls and 2 blue balls. A ball is drawn at random from each urn. What is the probability that both balls are blue?
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]