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Basketball Free Throws: One and One

APSTAT-FLTG1I

In basketball, one-and-one free throws sometimes occur near the end of a game. A player gets one attempt at a free throw: if she makes it, she gets one other attempt; if she misses, she gets no further attempts.

Suppose an athlete has a $64\%$ free-throw shooting percentage and is shooting a one-and-one situation.

What is the probability she makes at least one shot?

A

$0.64$

B

$0.36$

C

$0.2304$

D

$0.4096$

E

$0.5904$