Six Cards numbered from 1 to 6 are placed in a empty bowl. : PS Archive
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# Six Cards numbered from 1 to 6 are placed in a empty bowl.

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Six Cards numbered from 1 to 6 are placed in a empty bowl.  [#permalink]

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30 Sep 2006, 07:21
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Six Cards numbered from 1 to 6 are placed in a 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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30 Sep 2006, 07:24
Number of ways = (2,6) (3,5) (4,4) * 2 = 6

Number of ways which have a 5 = 2

Probablilty = 2 / 6 = 1 / 3

Hence C
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30 Sep 2006, 07:59
jaypshah wrote:
Number of ways = (2,6) (3,5) (4,4) * 2 = 6

Number of ways which have a 5 = 2

Probablilty = 2 / 6 = 1 / 3

Hence C

why do we need to count (4,4) twice.
i think total outcomes = 5
favourable = 2

so probabilty = 2/5
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30 Sep 2006, 15:11
Good Catch Iced tea !!! I fell for it .

Yes 2/5 .
30 Sep 2006, 15:11
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