A sharpshooter can hit the target with a probability p=0.75.

a) What is the probability that out of 10 shots she misses them all?

b) Find the probability that out of 10 shots she gets the target at least once.

Success: p = 0.75

Fail: q = 1 - p = 0.25

a) Prob of missing all 10 shots = q^{10} ≈ 9.5*10^{-7}

b) Prob of at least one success = 1 - prob of no successes = 1 - q^{10}.