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A basketball player makes 30% of his three point shots during a season

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Manager
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Status: Gathering chakra
Joined: 05 Feb 2018
Posts: 188
A basketball player makes 30% of his three point shots during a season  [#permalink]

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New post 27 Mar 2019, 14:36
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A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

25% (02:03) correct 75% (01:43) wrong based on 16 sessions

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A basketball player makes 30% of his three point shots during a season. If in a given game he attempts 4 three point shots, what is approximately the probability he makes at least one shot?

A) 24%
B) 30%
C) 76%
D) 83%
E) 99%
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Joined: 04 Dec 2015
Posts: 729
GMAT 1: 790 Q51 V49
GRE 1: Q170 V170
Re: A basketball player makes 30% of his three point shots during a season  [#permalink]

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New post 27 Mar 2019, 18:23
energetics wrote:
A basketball player makes 30% of his three point shots during a season. If in a given game he attempts 4 three point shots, what is approximately the probability he makes at least one shot?

A) 24%
B) 30%
C) 76%
D) 83%
E) 99%


The 'at least one shot' language should make you think about subtracting probabilities. Making 'at least one shot' is the opposite of making NO shots at all. So, this is true:

probability(at least one shot) = 1 - probability(no shots)

And the probability of making no shots is relatively simple to calculate. The probability of failing to make any given shot is 70%, so the probability of failing to make all four shots is (.70)(.70)(.70)(.70).

We don't need a very precise answer, so let's approximate:

(.70)(.70)(.70)(.70)
(.49)(.49)
(.5)(.5)
.25

1-.25 = .75

The right answer is approximately .75, or 75%. So, the right answer is (C) 76%.
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Chelsey Cooley | Manhattan Prep | Seattle and Online

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Re: A basketball player makes 30% of his three point shots during a season   [#permalink] 27 Mar 2019, 18:23
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A basketball player makes 30% of his three point shots during a season

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