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# On the morning of day 1, Suzy began her tracking tour. She plans to re

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Math Expert
Joined: 02 Sep 2009
Posts: 52902
On the morning of day 1, Suzy began her tracking tour. She plans to re  [#permalink]

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02 Oct 2018, 01:38
00:00

Difficulty:

25% (medium)

Question Stats:

75% (01:33) correct 25% (01:49) wrong based on 50 sessions

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On the morning of day 1, Suzy began her tracking tour. She plans to return home at the end of the first day on which it rains. If for the first three days of the tour, the probability of rain on each day is 0.25, what is the probability that Suzy will return home at the end of the day 3?

(A) 1/8
(B) 9/64
(C) 27/64
(D) 37/64
(E) 1/64

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Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
Re: On the morning of day 1, Suzy began her tracking tour. She plans to re  [#permalink]

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02 Oct 2018, 05:54
Bunuel wrote:
On the morning of day 1, Suzy began her tracking tour. She plans to return home at the end of the first day on which it rains. If for the first three days of the tour, the probability of rain on each day is 0.25, what is the probability that Suzy will return home at the end of the day 3?

(A) 1/8
(B) 9/64
(C) 27/64
(D) 37/64
(E) 1/64

p(rain) = $$\frac{25}{100}$$
p(suzy will return at the end of third day ) = $$\frac{75}{100}$$ *$$\frac{75}{100}$$ * $$\frac{25}{100}$$ = $$\frac{9}{64}$$
B
Re: On the morning of day 1, Suzy began her tracking tour. She plans to re   [#permalink] 02 Oct 2018, 05:54
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