Question 844937
In a standard deck of cards there are


13 RED DIAMOND CARDS
13 RED HEART CARDS
13 BLACK CLUB CARDS
13 BLACK SPADE CARDS


A) WITHOUT REPLACEMENT

P(A) = probability that the first card is red
P(B|A) = probability that the second card is red given the first card is also red


P(both are red cards) = P(A)P(B|A)
P(both are red cards) = 26/52 * 25/51
P(both are red cards) = 25/102 = 0.245


B) WITH REPLACEMENT

P(both are red cards) = P(A)P(A|B)
P(both are red cards) = 26/52 * 26/52
P(both are red cards) = 1/4 = 0.25