Question

A card is drawn from a well-shuffled deck of 52 cards and without replacing this card, a second card is drawn. Find the probability that the first card is a club and the second card is a spade.

Answer 1

It is given that a well shuffled deck of 52 cards where each draw is independent of the other

Consider success for the first trial be getting a club

So the probability of success in the first trial

P₁ (success) = 13/52

Consider success for the second trial be getting a spade

So the probability of success in the second trial without replacement of the first draw

P₂ (success) = 13/51

So the probability that the first card drawn is a club and the second card is a spade with each trial being independent