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If a coin has an equal probability of landing heads up or [#permalink]
27 Dec 2007, 01:43

6

This post was BOOKMARKED

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A

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Difficulty:

35% (medium)

Question Stats:

62% (01:56) correct
38% (00:46) wrong based on 248 sessions

If a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land heads up exectly twice in 3 consecutive flips ?

P=nCm*p^m*q^(n-m)
n - the total number of trials.
m - the number of trials with heads.
n-m - the number of trials with tails.
p - probability of heads.
q - probability of tails.

Re: coin probability [#permalink]
27 Sep 2009, 10:34

1

This post received KUDOS

If a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land heads up exectly twice in 3 consecutive flips ?

A 0.125 B 0.25 C 0.375 D 0.5 E 0.666

Soln: Total number of ways in which H or T can appear in 3 tosses of coin is = 2 * 2 * 2 = 8 ways

For 2 H and 1 T HHT, HTH, THH

Thus probability is = P(HHT) + P(HTH) + P(THH) = 1/8 + 1/8 + 1/8 = 3/8 = .375

Re: coin probability [#permalink]
29 Mar 2011, 07:56

It actually helps reading and understanding the problem correctly (: I understood the question as 'what is the probability that the coin will land heads up consequently twice in 3 consecutive flips'?

In that case: HHT = 1/8 THH = 1/8 Total outcomes: 8 Probability: 1/4

Re: If a coin has an equal probability of landing heads up or [#permalink]
07 Dec 2014, 23:32

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