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# Set S consists of all prime integers less than 10. If two

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Director
Joined: 11 Jun 2007
Posts: 910

Kudos [?]: 279 [0], given: 0

Set S consists of all prime integers less than 10. If two [#permalink]

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29 Oct 2007, 23:49
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Set S consists of all prime integers less than 10. If two numbers are chosen form set S at random, what is the probability that the product of these numbers will be greater than the product of the numbers which were not chosen?

1/3
2/3
1/2
7/10
4/5

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GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5034

Kudos [?]: 437 [0], given: 0

Location: Singapore

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30 Oct 2007, 01:55
S = {2,3,5,7}
Winning sets (3,5) (3,7) (5,7)

# of ways to pick 2 numbers = 4C2 = 6

P = 3/6 = 1/2

Kudos [?]: 437 [0], given: 0

Manager
Joined: 01 Oct 2007
Posts: 138

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

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30 Oct 2007, 03:18
ywilfred wrote:
S = {2,3,5,7}
Winning sets (3,5) (3,7) (5,7)

# of ways to pick 2 numbers = 4C2 = 6

P = 3/6 = 1/2

Ywilfred - How did you calculate winning set - Winning sets (3,5) (3,7) (5,7) ?

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

GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5034

Kudos [?]: 437 [0], given: 0

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30 Oct 2007, 03:23
Since there are only four elements in the set, you can quickly calculate, say if we pick 2 and 3, the product would be 6, and the product of the remaining numbers would be 35 and so (2,3) cannot be a winning set since 6 < 35.

Kudos [?]: 437 [0], given: 0

30 Oct 2007, 03:23
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