A and B draw two cards one after the another from a pack of 52 cards, the probability that all the 4 cards drawwn are of the same suit is -

Asked by Maneesha m | 20th Dec, 2013, 04:16: PM

Expert Answer:

First two cards can be drawn by A and B from 52 cards in 52C2 ways.
 
Now, there are 50 cards left.
 
2 more cards can be drawn by A and B from 50 cards in 50C2 ways.
 
Thus, Total number of ways = 52C2 x 50C2
 
We have 4 suits of 13 cards each.
 
Thus, number of ways 4 cards can be drawn from the same suit is 13C2 x 11C2 ways.
 
Hence, probability =
Solving, we get
 

Answered by Rashmi Khot | 20th Dec, 2013, 04:47: PM

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