Arrows An Olympic archer is able to hit the bull’s-eye80% of the time. Assume each shot is independent of theothers. If she shoots 6 arrows, what’s the probability ofeach of the following results?a) Her first bull’s-eye comes on the third arrow.b) She misses the bull’s-eye at least once.c) Her first bull’s-eye comes on the fourth or fifth arrow.d) She gets exactly 4 bull’s-eyes.e) She gets at least 4 bull’s-eyes.f) She gets at most 4 bull’s-eyes.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Arrows An Olympic archer is able to hit the bull’s-eye
80% of the time. Assume each shot is independent of the
others. If she shoots 6 arrows, what’s the probability of
each of the following results?
a) Her first bull’s-eye comes on the third arrow.
b) She misses the bull’s-eye at least once.
c) Her first bull’s-eye comes on the fourth or fifth arrow.
d) She gets exactly 4 bull’s-eyes.
e) She gets at least 4 bull’s-eyes.
f) She gets at most 4 bull’s-eyes.

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