1. (a) Find the probability that a 90% free-throw shooter makes 10 consecutive free-throws, assuming that individual shots are independent.

Step-by-step explanation:

Given

Probability of success free throw = 90%

Number of throw = 10

Required

Determine the probability of 10 consecutive free throws

Let p represents the given probability

Convert to decimal

Let n represents the number of throw

Provided that each throw is independent;

The probability of n consecutive free throw is

Substitute 0.9 for p and 10 for n

(Approximated)

-6 + 3 = 3 - 6