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Six cards numbered from 1 to 6 are placed in an empty bowl.

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Manager
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Joined: 11 Jan 2007
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Six cards numbered from 1 to 6 are placed in an empty bowl. [#permalink] New post 28 Jul 2007, 08:51
5. Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 8, what is the probability that one of the two cards drawn is numbered 5 ?
A.1/6
B.1/5
C.1/3
D.2/5
E.2/3
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Manager
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 [#permalink] New post 28 Jul 2007, 09:31
I get D.

There are only 5 ways to get a sum of 8:

2 6
6 2
3 5
5 3
4 4

Two of these ways have 5's in them. So 2/5 probability.
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 [#permalink] New post 28 Jul 2007, 10:27
2/5.

The sum of the numbers on the cards is 8.
(2,6)
(3,5)
(4,4)
(5,3)
(6,2)======5

One of the two cards drawn is numbered 5.
(3,5)
(5,3)======2

Hence, No. of favorable outcomes/Total Outcomes = 2/5.

Sunil
  [#permalink] 28 Jul 2007, 10:27
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Six cards numbered from 1 to 6 are placed in an empty bowl.

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