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Tony’s politicalscience final exam consists exclusively of 8 true/fals

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Tony’s politicalscience final exam consists exclusively of 8 true/fals  [#permalink]

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New post 27 Feb 2019, 23:31
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

67% (02:15) correct 33% (02:07) wrong based on 18 sessions

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Tony’s political science final exam consists exclusively of 8 true/false questions. If Tony guesses on every question, what is the probability that he gets exactly 7 questions right?

A. 1/32
B. 1/16
C. 1/8
D. 7/8
E. 31/32

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Tony’s politicalscience final exam consists exclusively of 8 true/fals  [#permalink]

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New post 28 Feb 2019, 04:34
Bunuel wrote:
Tony’s political science final exam consists exclusively of 8 true/false questions. If Tony guesses on every question, what is the probability that he gets exactly 7 questions right?

A. 1/32
B. 1/16
C. 1/8
D. 7/8
E. 31/32


each question being right or wrong 1/2
so 8 questions ; (1/2)^8
and 8 questions
so
(1/2^8) * 8 = 1/2^5 ; 1/32
IMO A

or
total possibilites = 2^8 = 256
and 8c7 ; 7 correct answers ; 8
so P = 8/ 256 = 1/32
IMO A
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Tony’s politicalscience final exam consists exclusively of 8 true/fals   [#permalink] 28 Feb 2019, 04:34
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