Q:

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?

Accepted Solution

A:
Answer:The probability that the first card is gray and the second card is pink= 5/78Step-by-step explanation:A deck of cards has a 5 pink, 2 gray, And 6 black cards.The total cards = 5 + 2 + 6 = 13You pick two cards from the deck without replacement. The probability that the first card is gray = 2/13The remaining cards = 13 - 1 = 12The probability that the second card is pink = 5/12So, The probability that the first card is gray and the second card is pink = Β  = 2/13 * 5/12 = 10/156 = 5/78