There are 52 cards in a pack. We have to select 4 cards of different suits without replacement. What

M4maths Previous Puzzles

26 Oct 2012 probability

There are 52 cards in a pack. We have to select 4 cards of different suits without replacement. What will be its probability.

OPtion

1) 1254/23475
2) 1/24
3) 1/120
4) 2197/20825
5) 39/51
6) 169/2652
7) 3475/11111
8) 12/169
9) 1/2
10) none of these

Solution

required probability = [52/52]*[39/51]*[26/50]*[13/49]
= 13*13*13/17*25*49
= 2197/20825

Correct Option: 4 Best Solution (6)