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 53% of the time. (Give all answers to 2 decimal places unless otherwise specified.)

a. What is the probability that he hits the bullseye on his first shot?  

b. What is the probability he will hit the bullseye on is first and second shot?  

c. What is the probability that he not hit the bullseye on his first and second shot?  

d. What is the probability he will get his first bullseye on his third shot?  

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

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

Explanation / Answer

a.The probability that he hits the bullseye on his first shot:0.53.

b.The probability he will hit the bullseye on is first and second shot 0.53^2=0.2809

c.The probability that he not hit the bullseye on his first and second shot: (1-0.53)^2=0.2209

d.The probability he will get his first bullseye on his third shot:(1-0.53)^2*0.53=0.117

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