Two cards are drawn without replacement from a standard deck of 52 cards. Find the probability a) both cards are red ,b) both cards are the same color, c) the second card is a king given that the first card is a queen, d) the second card is the queen of hearts given that the first card is black

Answer 1

prob both red = (26/52)(25/51) = 25/102

prob both same colour
= 25/102 + 25/102 = 50/102 = 25/51

prob (queen then king) = (4/52)(4/51) = 4/663

prob( black then queen of hearts) = (26/52)(1/51) = 1/102