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

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

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New post 27 Feb 2019, 04:41
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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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New post 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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New post 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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New post 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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Re: Fred has three dimes, two nickels, and four quarters in his pocket. If  [#permalink]

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

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