Question

A deck of cards has a 5 pink, 2 gray, And 6 black cards. You pick two cards from the deck without replacement. What is the probability that the first card is gray and the second card is pink?

Answer 1

The probability that the first card is gray and the second card is pink= 5/78

Explanation:

A deck of cards has a 5 pink, 2 gray, And 6 black cards.

The total cards = 5 + 2 + 6 = 13

You pick two cards from the deck without replacement.

The probability that the first card is gray = 2/13

The remaining cards = 13 - 1 = 12

The probability that the second card is pink = 5/12

So,

The probability that the first card is gray and the second card is pink =

= 2/13 * 5/12 = 10/156 = 5/78