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

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Manager
Joined: 10 Oct 2005
Posts: 113
Location: Hollywood
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Six Cards numbered from 1 to 6 are placed in a empty bowl.  [#permalink]  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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Intern
Joined: 24 Aug 2006
Posts: 25
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Kudos [?]: 0 [0], given: 0

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
Senior Manager
Joined: 11 May 2006
Posts: 260
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Kudos [?]: 6 [0], given: 0

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
Senior Manager
Joined: 11 Jul 2006
Posts: 383
Location: TX
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Good Catch Iced tea !!! I fell for it .

Yes 2/5 .
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