Question

Three cards are drawn from a well shuffled pack of 52 cards. find the probability that

(a) All the three cards are diamond (b) At least one of the cards is non-diamond
(c) One card is king and two are jacks​

Answer 1

Answer:

There are 13 diamonds in a fair pack of 52 cards.

So the chances of doing this are (13*12*11)/(52*51*50)

13 is prime, as is 11, but 12 is 2*2*3

52 is 2*2*13, 51 is 3*17, 50 is 2*5*5

So we can cross out 2*2*3*13

That leaves 11/(2*5*5*17) or 11/850, slightly under 1.3%