Question

Two cards are dealt at random from a standard deck of 52 cards. What is the probability that the first card is a King and the second card is a $\heartsuit$

Answer 1

1/53

Explanation:

So, you have 4 kings in a deck. You have a 4/52 chance in the first one which simplifies to 1/13. There are 13 hearts in a deck. 13/53 * 1/13 = 1/53. Sorry if I got this one wrong.

Answer 2

1 / 51

Explanation:

Given that :

Number of cards in a deck = 52

Number of heart suit = 13

Number of kings = 4

Recall:

Probability = (required outcome / Total possible outcomes)

P(first card is king) = 4/52 = 1/13

P(second card is heart) = 13/51

Hence,

P(first card is king) * P(second card is heart)

(1/ 13) * (13/51) = 13 / 663 = 1/ 51