When Tom plays darts, he hits te target 65% of the time. Find the probability that he hits the target at least 4 out of the next 6 attempts

Answer 1

p = 0.65 (probability of success)

n = 6 attempts

Set up the binomial probability.

P(X ≥ 4) = ∑⁶_x=4 C(6, x)*(0.65)^x*(0.35)^6-x = P(X = 4) + P(X = 5) + P(X = 6) = 0.6471

The probability that Tom hits the target at least 4 out of 6 times is about 0.6471.