1. A very proficient pistol marksman can hit the bullseye of a target at 75 yard

Question

1. A very proficient pistol marksman can hit the bullseye of a target at 75 yards 58% of the time. (Give all answers to 2 decimal places unless otherwise specified.)
a. What is the probability he will get his first bullseye on his third shot?  

b. What is the probability he will hit the bullseye five times in a row?  

c. What is the probability that he will get at least one bullseye is five tries? Hint: Use the complement rule.

2.The July 8, 2002, issue of Democrat & Chronicle gave the results from the 2000 census that 41% of grandparents are responsible for "most of the basic needs" of a grandchild in the home. If 2 American grandparents are contacted, what is the probability that all 2 are the primary caregiver for their grandchildren? (Give your answer correct to four decimal places.)

3. The general rule of addition must be used when two events are not mutually exclusive.(False/True)

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Explanation / Answer

1) a) Probability he will get his first bullseye on his third shot = 0.42x0.42x0.58 = 0.1023

b) Probability that he will hit the bullseye five times in a row = 0.585 = 0.0656

c) Probability that he will get at least one bullseye is five tries = 1 - Probability of no bullseye in 5 tries

= 1 - 0.425 = 0.9869

2) Probability that all 2 are the primary caregiver for their grandchildren = 0.41x0.41 = 0.1681

3) False

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