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Difficult

Composite Binomial Situation

APSTAT-G6FWNP

Suppose a basketball player shoots $10$ free throws per game.

If the season lasts $32$ games and the player is an $80\%$ lifetime free-throw shooter, what is the probability that the player makes all $10$ of his free throws during at least one of the games?

Assume each game and each of the free throw attempts is independent.

A

$0.893$

B

$0.973$

C

$0.026$

D

Approximately $1$

E

$0.989$