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# Fred has three dimes, two nickels, and four quarters in his pocket. If

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Math Expert
Joined: 02 Sep 2009
Posts: 53748
Fred has three dimes, two nickels, and four quarters in his pocket. If  [#permalink]

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27 Feb 2019, 04:41
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Difficulty:

15% (low)

Question Stats:

90% (01:14) correct 10% (01:08) wrong based on 21 sessions

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Fred has three dimes, two nickels, and four quarters in his pocket. If he selects two coins, at random and without replacement, what is the probability that he selects two dimes?

A. 1/12

B. 1/6

C. 1/4

D. 1/3

E. 1/2

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Re: Fred has three dimes, two nickels, and four quarters in his pocket. If  [#permalink]

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27 Feb 2019, 04:53
P= 3C2/9C2=3/36=1/12

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Re: Fred has three dimes, two nickels, and four quarters in his pocket. If  [#permalink]

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27 Feb 2019, 05:01
Bunuel wrote:
Fred has three dimes, two nickels, and four quarters in his pocket. If he selects two coins, at random and without replacement, what is the probability that he selects two dimes?

A. 1/12

B. 1/6

C. 1/4

D. 1/3

E. 1/2

The probabaility that the first coin picked is a dime is $$\frac{3}{9} = \frac{1}{3}$$

The probabaility that the second coin picked is also a dime is $$\frac{2}{8} = \frac{1}{4}$$

Therefore, the probability that Fred picks two dimes is $$\frac{1}{3}*\frac{1}{4} = \frac{1}{12}$$(Option A)
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Re: Fred has three dimes, two nickels, and four quarters in his pocket. If  [#permalink]

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27 Feb 2019, 05:45
Bunuel wrote:
Fred has three dimes, two nickels, and four quarters in his pocket. If he selects two coins, at random and without replacement, what is the probability that he selects two dimes?

A. 1/12

B. 1/6

C. 1/4

D. 1/3

E. 1/2

total coinns = 9
so getting 2 dimes;
3/9 * 2/8 ; 1/12
IMO A
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Joined: 17 May 2018
Posts: 44
Re: Fred has three dimes, two nickels, and four quarters in his pocket. If  [#permalink]

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27 Feb 2019, 06:32
The probability of picking two dimes = 3c2
Probability of picking any 2 coins= 9c2
Hence the ans= 3c2/9c2 = 1/12

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Re: Fred has three dimes, two nickels, and four quarters in his pocket. If   [#permalink] 27 Feb 2019, 06:32
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