Chapter 14 · Question 6

A card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting a king.

Answer

There are 4 kings in a deck of 52 cards. Probability

=\frac4{52}=\frac1{13}

.

Favourable cards are 4 kings out of 52 cards.

In a standard deck, total outcomes

=52

. The favourable outcomes for a king are four: one in each suit. Hence

P(\text{king})=\frac{4}{52}=\frac{1}{13}

.