A basketball player has an 80 chance of sinking a basket on

A basketball player has an 80% chance of sinking a basket on a free throw. What is the probability that he will sink at least three baskets in five free throws?

Solution

probability of sinking = 0.80

Probability of not sinking = 0.2

Probability of sinking at least 3 out of five = P(3 sinks) + P (4 sinks) + P (5 sinks)

                                                          = 5C₃ (0.80 )³*(0.20)² + 5C₄ (0.80)⁴(0.20) + 5C₅(0.80)⁵

                                                                            =   0.2048 + 0.4096 + 0.32768 = 0.94208 = 0.9421 (ans)