Given: a well shuffled deck of 52 cards. Each draw is independent of the other.
To find: the probability that the first card is drawn is a club and the second card is a spade.
Let , success for the first trail be getting a club.
Now , the Probability of success in the first trial is
P1(success) =
13
52
let , success for the second trail be getting a spade.
Probability of success in the second trial without replacement of the first draw is given by
P2(success) =
13
51
Hence , the probability that the first card is drawn is a club and the second card is a spade ,with each trial being independent is given by
