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

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Manager
Joined: 11 Jan 2007
Posts: 202
Location: Bangkok
Followers: 1

Kudos [?]: 10 [0], given: 0

Six cards numbered from 1 to 6 are placed in an empty bowl. [#permalink]  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
_________________

cool

Manager
Joined: 08 Jul 2007
Posts: 174
Followers: 1

Kudos [?]: 5 [0], given: 0

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.
Intern
Joined: 26 Aug 2006
Posts: 25
Followers: 0

Kudos [?]: 1 [0], given: 0

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
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