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

Given is a deck of 52 cards.

By using the formula of probability, we get,

P (E) = favourable outcomes / total possible outcomes

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

Total possible outcomes will be,

$n (S) = {}^{52}C_4$

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

$n (E)=4\times {}^4C_4=4$

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

= 4 / 270725