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An unfair coin comes up heads 60% of the time and tails 40% of the tim

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An unfair coin comes up heads 60% of the time and tails 40% of the tim  [#permalink]

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New post 02 Dec 2019, 00:20
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68% (01:59) correct 32% (01:42) wrong based on 19 sessions

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An unfair coin comes up heads 60% of the time and tails 40% of the time when it is tossed. What is the probability of getting exactly three heads on five tosses of this coin?

A. \(\frac{10}{32}\)

B. \(\frac{27}{125}\)

C. \(\frac{2^33^3}{5^5}\)

D. \(\frac{3}{5}\)

E. \(\frac{6^3}{5^4}\)


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Re: An unfair coin comes up heads 60% of the time and tails 40% of the tim  [#permalink]

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New post 02 Dec 2019, 00:42
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HHHTT
6^3/10^3 * 4^3/10^3 * 5!/3!*2!
= 6^3/5^4.
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Re: An unfair coin comes up heads 60% of the time and tails 40% of the tim  [#permalink]

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New post 02 Dec 2019, 01:22
total fair ways ; 5!/3!*2! ; 10
and for heads and tails ; 5c3*(.6)^3 *(.4)^2*5c2
total P of exactly three heads on five tosses ; 5c3*(.6)^3 *(.4)^2*5c2/10
solve =
\(\frac{6^3}{5^4}\)

IMO E

Bunuel wrote:
An unfair coin comes up heads 60% of the time and tails 40% of the time when it is tossed. What is the probability of getting exactly three heads on five tosses of this coin?

A. \(\frac{10}{32}\)

B. \(\frac{27}{125}\)

C. \(\frac{2^33^3}{5^5}\)

D. \(\frac{3}{5}\)

E. \(\frac{6^3}{5^4}\)


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GMAT Club Bot
Re: An unfair coin comes up heads 60% of the time and tails 40% of the tim   [#permalink] 02 Dec 2019, 01:22
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