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lastochka
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probability Q 31 May 2004, 13:24
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This problem has been recently posted but I don't believe a clear solution was ever presented.

What is the probability that you receive a pair when you are dealt two cards from a complete deck?

a) 1/17
b) 1/13
c) 1/12
d) 4/17
e) ½



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baruna
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probability Q 31 May 2004, 14:51
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i think answer is 26/52 =1/2
if the cards are picked together ...
if first one card is picked then the second the answer would be=1/52 *3/51
pls correct me if i m wrong...
what is the ifficial answer
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Diego
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probability Q 31 May 2004, 15:43
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you'll find the answer here

https://www.testmagic.com/forum/topic.asp?TOPIC_ID=12145
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Sameer
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probability Q 31 May 2004, 20:59
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Think of it like this.

Step 1:
What is the probability that first card is an ace
= 4/52
Step 2:
What is the probability that second card is also an ace (given that the first card already drawn was an ace)
=3/51

Hence the probability that I get a pair of aces when I draw two cards
= 4/52 * 3/51

Now we have 13 card numbers eg: Aces, Kings, Queens, Jacks ....

Therefore there are 13 ways in which I can perform step 1 and step 2 , asking questions like What is the probability I get a pair of kings when I draw two cards....
and the answer for each of these 13 steps = 4/52 * 3/51

Therefore total probability of having any pair when we draw two cards

= 13 * 4/52 * 3/51

= 1/17
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lastochka
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probability Q 06 Jun 2004, 20:25
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anupag
Think of it like this.

Step 1:
What is the probability that first card is an ace
= 4/52
Step 2:
What is the probability that second card is also an ace (given that the first card already drawn was an ace)
=3/51

Hence the probability that I get a pair of aces when I draw two cards
= 4/52 * 3/51

Now we have 13 card numbers eg: Aces, Kings, Queens, Jacks ....

Therefore there are 13 ways in which I can perform step 1 and step 2 , asking questions like What is the probability I get a pair of kings when I draw two cards....
and the answer for each of these 13 steps = 4/52 * 3/51

Therefore total probability of having any pair when we draw two cards

= 13 * 4/52 * 3/51

= 1/17
Show more


thanks for such clear explanation!



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!