Question

If someone picks 5 cards randomly from a deck of 52 cards, what is the probability that all of the cards will be either diamonds or will show odd numbers?

Answer 1

Number of odds OR diamonds = 13diamonds + 16odds - 4odd-diamonds
= 25

So prob(what you said) = C(25,5)/C(52,5) = 53130/2598960
= 253/12376