Question

What is the probability of drawing a king first and then a jack from a standard deck of cards with replacement?

Answer 1

1/169

Explanation:

There are total 52 cards in deck. Also, there are 4 kings and 4 jacks in the deck.

Probability of choosing a king out of 4 kings and total there are 52 cards

∴ Ans1 = ⁴C₁/⁵²C₁ = 4/52 = 1/13

The cards are drawn with replacement so again there will be total 52 cards.

Probability of choosing a jack out of 4 jacks and total there are 52 cards

∴Ans2 = ⁴C₁/⁵²C₁ = 4/52 = 1/13

So, ans=Ans1 * Ans2 = 1/13 *1/13 = 1/169