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In a certain game, in Phase 1 you flip one coin as many as 3 times. If

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In a certain game, in Phase 1 you flip one coin as many as 3 times. If  [#permalink]

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New post Updated on: 29 Apr 2018, 08:00
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In a certain game, in Phase 1 you flip one coin as many as 3 times. If you flip 3 tails you lose. As soon as you get your first head, you advance to Phase 2. In Phase 2, you roll a six-sided die once. If you roll a 6, you win. For any other roll, you lose. What is the probability of wining?

A. 1/48
B. 5/48
C. 7/48
D. 35/48
E. 7/8

Attachment:
20180429_204655.png
20180429_204655.png [ 440.68 KiB | Viewed 1228 times ]

Originally posted by nishore1 on 29 Apr 2018, 07:28.
Last edited by Bunuel on 29 Apr 2018, 08:00, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: In a certain game, in Phase 1 you flip one coin as many as 3 times. If  [#permalink]

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New post 29 Apr 2018, 07:50
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Phase 1: Use 1-x approach
P(losing 3 times) = 1/2 x 1/2 x 1/2 = 1/8
Therefore P(winning) = 1-1/8 = 7/8

Phase 2:P(6) = 1/6

Therefore, P (P1xP2)= 7/8 * 1/6 = 7/48
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Re: In a certain game, in Phase 1 you flip one coin as many as 3 times. If  [#permalink]

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New post 29 Apr 2018, 08:02
nishore1 wrote:
In a certain game, in Phase 1 you flip one coin as many as 3 times. If you flip 3 tails you lose. As soon as you get your first head, you advance to Phase 2. In Phase 2, you roll a six-sided die once. If you roll a 6, you win. For any other roll, you lose. What is the probability of wining?

A. 1/48
B. 5/48
C. 7/48
D. 35/48
E. 7/8

Attachment:
20180429_204655.png


Please read carefully and follow our RULES OF POSTING. Thank you.
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Re: In a certain game, in Phase 1 you flip one coin as many as 3 times. If  [#permalink]

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New post 29 Apr 2018, 09:55
Bunuel wrote:
nishore1 wrote:
In a certain game, in Phase 1 you flip one coin as many as 3 times. If you flip 3 tails you lose. As soon as you get your first head, you advance to Phase 2. In Phase 2, you roll a six-sided die once. If you roll a 6, you win. For any other roll, you lose. What is the probability of wining?

A. 1/48
B. 5/48
C. 7/48
D. 35/48
E. 7/8

Attachment:
20180429_204655.png


Please read carefully and follow our RULES OF POSTING. Thank you.

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Re: In a certain game, in Phase 1 you flip one coin as many as 3 times. If  [#permalink]

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New post 16 May 2018, 05:43
Probability of head= 1- probability of no head
=1-1/8=7/8
(Only one case out of 8 when three tails appear)

Probability of 6=1/6

So 7/8*1/6=7/48

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Re: In a certain game, in Phase 1 you flip one coin as many as 3 times. If  [#permalink]

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New post 01 Jun 2018, 23:00
nishore1 wrote:
In a certain game, in Phase 1 you flip one coin as many as 3 times. If you flip 3 tails you lose. As soon as you get your first head, you advance to Phase 2. In Phase 2, you roll a six-sided die once. If you roll a 6, you win. For any other roll, you lose. What is the probability of wining?

A. 1/48
B. 5/48
C. 7/48
D. 35/48
E. 7/8

Attachment:
20180429_204655.png


Phase 1 : P(H) = 1 - P(All tails)

P(H) = 1 - (1/2*1/2*1/2)

P(H) = 1 - 1/8

P(H) = 7/8 (WIN)

Phase 2 : 1/6 (WIN)

Combined win = 7/8 * 1/6

7/48
(C)
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Re: In a certain game, in Phase 1 you flip one coin as many as 3 times. If  [#permalink]

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Re: In a certain game, in Phase 1 you flip one coin as many as 3 times. If   [#permalink] 05 Aug 2019, 11:36

In a certain game, in Phase 1 you flip one coin as many as 3 times. If

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