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What is the probability of choosing 2 distinct positive integers from
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08 Nov 2021, 06:35
08 Nov 2021, 06:35
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66% (03:04) wrong based on 3 sessions
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What is the probability of choosing 2 distinct positive integers from the set of first 10 positive integers such that their product and sum are both even?
A. 1/5
B. 2/9
C. 2/5
D. 4/9
E. 1/2
A. 1/5
B. 2/9
C. 2/5
D. 4/9
E. 1/2
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Re: What is the probability of choosing 2 distinct positive integers from
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08 Nov 2021, 06:47
08 Nov 2021, 06:47
Carcass wrote:
What is the probability of choosing 2 distinct positive integers from the set of first 10 positive integers such that their product and sum are both even?
A. 1/5
B. 2/9
C. 2/5
D. 4/9
E. 1/2
A. 1/5
B. 2/9
C. 2/5
D. 4/9
E. 1/2
If two integers have an even product AND an even sum, then the two integers must both be even
So, the question is really asking us to find P(the 2 selected integers are both even).
The set of first 10 positive integers consists of 5 odd integers and 5 even integers.
So, we get: P(the 2 selected integers are both even) = P(the 1st integer is even AND the 2nd integer is even)
= P(the 1st integer is even) x P(the 2nd integer is even)
= 5/10 x 4/9
= 2/9
Answer: B
gmatclubot
Re: What is the probability of choosing 2 distinct positive integers from [#permalink]
08 Nov 2021, 06:47
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