Question

In a pack of 52 cards select 4 cards as like 1 spade and 1 heart. find the probability

Answer 1

Out of 52 cards 13 spades and 13 hearts are there.

We have to pick 4 cards out of 52 cards.

So total number of sampling here= 52C4

And out of that 1 will be spade and another will be heart and another will be other type.

That means out of 4, 1 will be spade+1 will be heart+2 will be out of other 26 n cards

so favourable outcome= (13C1) × (13C1) * (26C2)

So the probability=$\frac{13C1 * 13C1 *26C2}{52C4}$ = 169/833 (Answer)

Answer 2

Answer:

total 52 cards :

4/52=1/13