Question

A single card is drawn from an ordinary 52-card deck. Find the probability of getting a 4 of diamonds.

Answer 1

It is given that a single card is drawn from an ordinary 52-card deck. We have to find the probability of getting a 4 of diamonds.

We know, Probability of any event = (Number of favorable outcomes)/(Total number of possible outcomes).

We know, each 52-card deck consists of 4 suits : heart, diamond, club and spade. Each suit consists of 13 cards which are : Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King. Thus, a diamond suit also consists of the above cards. Thus, there is one 4 in a suit of diamonds. Thus, number of favorable outcomes = 1 .

Total number of cards = 52 . Thus, the total number of possible outcomes = 52 .

Thus, the required probability = 1/52 = 0.0192(rounded up to four decimal places).

Thus, the probability of getting a 4 of diamonds = 0.0192 .