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# Frederico is going to try walk across the United States of America. He

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Math Expert
Joined: 02 Sep 2009
Posts: 50009
Frederico is going to try walk across the United States of America. He  [#permalink]

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07 May 2017, 14:20
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Difficulty:

15% (low)

Question Stats:

82% (01:10) correct 18% (01:38) wrong based on 77 sessions

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Frederico is going to try walk across the United States of America. He has decided that he will stop walking at the end of the first day that his knee starts to cause him pain. If the probability of a knee injury that would cause Frederico pain each day is .4, what is the probability of him ending his walk at the end of the third day?

A. 0.144
B. 0.216
C. 0.64
D. 0.96
E. 0.6

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Frederico is going to try walk across the United States of America. He  [#permalink]

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07 May 2017, 14:28
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Bunuel wrote:
Frederico is going to try walk across the United States of America. He has decided that he will stop walking at the end of the first day that his knee starts to cause him pain. If the probability of a knee injury that would cause Frederico pain each day is .4, what is the probability of him ending his walk at the end of the third day?

A. 0.144
B. 0.216
C. 0.64
D. 0.96
E. 0.6

If P(knee pain) = 0.4, then P(NO knee pain) = 0.6

P(Fred ends walk at end of Day 3) = P(no knee pain on Day 1 AND no knee pain on Day 2 AND knee pain on Day 3)
= P(NO knee pain on Day 1) x P(NO knee pain on Day 2) x P(knee pain on Day 3)
= 0.6 x 0.6 x 0.4
= 0.144

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Re: Frederico is going to try walk across the United States of America. He  [#permalink]

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08 May 2017, 00:23
P(NO knee pain on Day 1) x P(NO knee pain on Day 2) x P(knee pain on Day 3)
0.6 x 0.6 x 0.4 = 0.144

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Re: Frederico is going to try walk across the United States of America. He &nbs [#permalink] 08 May 2017, 00:23
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# Frederico is going to try walk across the United States of America. He

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