Question

Consider a standard deck of 52 cards. You pick two cards in a row, without returning the first card to the deck. What is the probability of drawing the king of diamonds and an ace, in that order?

Answer 1

`0.0113 \\`

OR

`1.13 %`

Step-by-step explanation:

It is given that the cards picked are not returned to the deck.

Hence, it is not the case of independent selection.

Thus, in first go one card is selected out of 52 cards and in second go second cards in drawn out of the remaining 51 cards

In a deck of 52 cards there are four kings each in one of the under given suit

King of Hearts

King of Spades

King of Diamonds

King of Clubs

Thus, probability of drawing the king of diamonds and an ace in a row without returning the first card to the deck is

`(1)/(4) * (1)/(52) + (1)/(3) * (1)/(51)\\= 0.0113`