kiran120680
a shooter participates in a tournament. Probability of hitting the target in any shot of the first round is 0.8. He will qualify for the next round in the tournament, only if he hits the target at least once in 8 shots of the first round. What is the probability he will make through the first round?
A. (0.2)^8
B. 1 - (0.2)^8
C. (0.8)^8
D. 1 - (0.8)^8
E. (0.8)(0.2)^7
Given: A shooter participates in a tournament. Probability of hitting the target in any shot of the first round is 0.8. He will qualify for the next round in the tournament, only if he hits the target at least once in 8 shots of the first round.
Asked: What is the probability he will make through the first round?
Probability of making through the first round = probability of hitting the target at least once in 8 shots of the first round = 1 - probability of not hitting the target in 8 shots of the first round = 1 - (0.2)^8
IMO B