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# There are two sets containing integers 0 to 9 each.what is

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Intern
Joined: 20 Aug 2003
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Location: USA
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There are two sets containing integers 0 to 9 each.what is [#permalink]  25 Aug 2003, 11:13
There are two sets containing integers 0 to 9 each.what is the probability that the product of one integer taken from each set would be even
Intern
Joined: 20 Aug 2003
Posts: 36
Location: USA
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Can you please explain how you worked it out?
Manager
Joined: 10 Jun 2003
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Location: Maryland
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Kudos [?]: 4 [0], given: 0

or P = 1- P(they are both odd)

P = 1 - (1/2 * 1/2)
P = 1 - (1/4)
P = 3/4
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Sept 3rd

Intern
Joined: 20 Aug 2003
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I don't get it!!!

there are integers 0,1,2,3,4,5,6,7,8,9 in one set and the same integers in the other.

so there are 5 odd integers and 5 even integers.

so the probability of choosing an odd number is 1/2 and the probability of choosing an even number is 1/2?

so we multiply 1/2 with 1/2, both being odd!! and then subtract it from 1 to get the even product

is this the way you've solved it?
Manager
Joined: 14 Aug 2003
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Location: barcelona
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the only way of getting an odd product is to have both factors odd... prob. 1st being odd=1/2; prob 2d being odd=1/2; prob both odd=1/2*1/2
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# There are two sets containing integers 0 to 9 each.what is

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