Suppose a basketball player is an excellent free throw shooter and makes 91% of his free throws (i.e., he has a91% chance of making a single free throw). Assume that free throw shots are independent of one another.Suppose this player gets to shoot three free throws. Find the probability that he misses all three consecutive freethrows. Round to the nearest ten-thousandth.
A) 0.0007
B) 0.2464
C) 0.7536
D) 0.9993

Question

Quizplus · Accepted Answer

The probability of missing a single free throw is 1 - 0.91 = 0.09. Since the shots are independent, the probability of missing three consecutive free throws is $0.09^3 = 0.000729$, which rounds to 0.0007.

Suppose a Basketball Player Is an Excellent Free Throw Shooter