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Probability

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Joined: 12 Aug 2017
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Probability  [#permalink]

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New post 23 Aug 2017, 09:30
Two cards are drawn at random from pack of 52 cards , what's the probability that either both are black or both are queens?


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Re: Probability  [#permalink]

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New post 23 Aug 2017, 09:48
We have n(s) = 52C2= 1326.
Let A = event of getting both black cards
B = event of getting both queens
A∩B = event of getting queen of black cards
n(A) = 26C2 = 325, n(B)= 4C2 = 6 and n(A∩B) = 2C2 = 1
P(A) = n(A)/n(S) = 325/1326;
P(B) = n(B)/n(S) = 6/1326 and
P(A∩B) = n(A∩B)/n(S) = 1/1326
P(A∪B) = P(A) + P(B) - P(A∩B) = 55/221
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Probability  [#permalink]

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New post 23 Aug 2017, 09:49
1
Drawing simultaneously or one after another without replacement?

If drawing simultaneously it is 55/221 .
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Re: Probability  [#permalink]

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New post 23 Aug 2017, 10:29
sachchidanand wrote:
Two cards are drawn at random from pack of 52 cards , what's the probability that either both are black or both are queens?


Sent from my iPhone using GMAT Club Forum mobile app



Kindly follow the rules before posting.

This question has already been discussed here : 2-cards-are-drawn-at-random-106543.html

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: Probability   [#permalink] 23 Aug 2017, 10:29
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