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A bin contains 20 cards numbered from 1 to 20. If two cards are drawn

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Carcass
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A bin contains 20 cards numbered from 1 to 20. If two cards are drawn [#permalink] New post   18 Oct 2021, 05:28
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69% (02:28) correct 30% (02:18) wrong based on 26 sessions

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A bin contains 20 cards numbered from 1 to 20. If two cards are drawn from the bin without replacement, what is the probability that the sum of the numbers on the cards is even ?

A. 1/3
B. 7/18
C. 4/9
D. 9/19
E. 1/2
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D
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GreenlightTestPrep
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Re: A bin contains 20 cards numbered from 1 to 20. If two cards are drawn [#permalink] New post   18 Oct 2021, 06:02
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Carcass wrote:
A bin contains 20 cards numbered from 1 to 20. If two cards are drawn from the bin without replacement, what is the probability that the sum of the numbers on the cards is even ?

A. 1/3
B. 7/18
C. 4/9
D. 9/19
E. 1/2


P(sum is even) = P(1st card is odd AND 2nd card is odd OR 1st card is even AND 2nd card is even)
= P(1st card is odd x P(2nd card is odd) + P(1st card is even) x P(2nd card is even)
= 10/20 x 9/19 + 10/20 x 9/19
= 1/2 x 9/19 + 1/2 x 9/19
= 9/38 + 9/38
= 18/38
= 9/19

Answer: D
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adewale223
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Re: A bin contains 20 cards numbered from 1 to 20. If two cards are drawn [#permalink] New post   20 Jul 2024, 06:56
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The 2 numbered cards must be either odd or even.


Number of odd = 10

Number of even = 10


10C2 + 10C2/ 20C2 = 90/190

= 9/19


Adewale Fasipe, Lagos Nigeria.
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Re: A bin contains 20 cards numbered from 1 to 20. If two cards are drawn [#permalink] New post   27 Jul 2024, 13:44
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What amaze me sir is that , usually, your explanations are neat, simple, effective

:please:
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Re: A bin contains 20 cards numbered from 1 to 20. If two cards are drawn [#permalink]
27 Jul 2024, 13:44
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