Problema Solution
A deck of cards has 5 pink, 2 gray, and 6 black cards. You pick 2 cards from the deck without replacement. What is the probability that the first card is gray and the second card is pink?
Answer provided by our tutors
p(the first card is gray) = 2/(5 + 2 + 6) = 2/13
p(he second card is pink) = 5/(5 + 2 + 6-1) = 5/12
p(the first card is gray and the second card is pink) = p(the first card is gray)*p(he second card is pink)
p(the first card is gray and the second card is pink) = (2/13)(5/12)
p(the first card is gray and the second card is pink) = 0.0641 or about 6.41%.