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A weighted coin has a probability p of showing heads. Is the value of

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A weighted coin has a probability p of showing heads. Is the value of  [#permalink]

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Updated on: 06 May 2018, 00:42
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75% (hard)

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52% (02:12) correct 48% (02:28) wrong based on 61 sessions

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A weighted coin has a probability p of showing heads. Is the value of p > 0.2?

(1) Successive flips are independent, and the probability of getting at least one head in two flips is greater than 0.5.

(2) The probability of getting tail on a flip of coin is less than 0.8.

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Originally posted by gmatbusters on 05 May 2018, 22:55.
Last edited by Bunuel on 06 May 2018, 00:42, edited 1 time in total.
Renamed the topic and edited the question.
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Re: A weighted coin has a probability p of showing heads. Is the value of  [#permalink]

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06 May 2018, 00:15
gmatbusters wrote:
A weighted coin has a probability p of showing heads. Is the value of p > 0.2?
1) Successive flips are independent, and the probability of getting at least one head in
two flips is greater than 0.5.
2) The probability of getting tail on a flip of coin is less than 0.8.

Question : is p > 0.2?

Statement 1: Probability of two tails < 0.5

i.e. (1-p)*(1-p) < 0.5

i.e. (1-p)^2 < 0.5

i.e. (1-p) < 0.707

i.e. p > 0.293

SUFFICIENT

Statement 2: (1-p) < 0.8

i.e. p > 0.2

SUFFICIENT

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Re: A weighted coin has a probability p of showing heads. Is the value of  [#permalink]

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23 Nov 2019, 21:59
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Re: A weighted coin has a probability p of showing heads. Is the value of   [#permalink] 23 Nov 2019, 21:59
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