Question

From a deck of 52 cards, four cards are drawn simultaneously, find the chance that they will be the four honors of the same suit

Answer 1

Given: A deck of 52 cards.

By using the formula,

P (E) = favourable outcomes / total possible outcomes

We now have to find the probability that all the face cards of same suits are drawn.

Total possible outcomes are

n (S) = ⁵²C₄

Let E be the event that all the cards drawn are face cards of same suit.

n (E) = 4 × ⁴C₄ = 4

P (E) = n (E) / n (S)

= 4 / 270725