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Jorge has 5 quarters and 3 nickels. If he picks two of these coins at
[#permalink]
16 Jan 2023, 06:37
16 Jan 2023, 06:37
Expert Reply
00:00
Question Stats:
57% (00:49) correct
42% (00:41) wrong based on 21 sessions
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Jorge has 5 quarters and 3 nickels. If he picks two of these coins at random, what is the probability that both will be quarters?
A. 1/4
B. 5/14
C. 25/64
D. 5/8
E. 2/3
A. 1/4
B. 5/14
C. 25/64
D. 5/8
E. 2/3
Re: Jorge has 5 quarters and 3 nickels. If he picks two of these coins at
[#permalink]
18 Jan 2023, 05:00
18 Jan 2023, 05:00
Expert Reply
OE
You can approach this problem as a “choosing without replacement” problem. First, Jorge will pick one of 8 coins, 3 of which are quarters. The probability of his picking a quarter is therefore 5/8 . Now suppose that this indeed happens in his first draw. Then, there will be 7 coins left to choose from, and 4 of them will be quarters. (This is the Domino Effect.) The likelihood of picking a quarter next is now 4/7.
You can approach this problem as a “choosing without replacement” problem. First, Jorge will pick one of 8 coins, 3 of which are quarters. The probability of his picking a quarter is therefore 5/8 . Now suppose that this indeed happens in his first draw. Then, there will be 7 coins left to choose from, and 4 of them will be quarters. (This is the Domino Effect.) The likelihood of picking a quarter next is now 4/7.
gmatclubot
Re: Jorge has 5 quarters and 3 nickels. If he picks two of these coins at [#permalink]
18 Jan 2023, 05:00
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