From a deck of 52 playing cards, 2 cards are randomly selected without replacement. Let D₁ = the event that a black card was

Question

From a deck of 52 playing cards, 2 cards are randomly selected without replacement. Let D₁ = the event that a black card was selected first, and D₂ = the event that a black card was selected second. Complete parts (a) through (d) below.
a. Find P(D₁).
P(D₁)= (Simplify your answer.)
b. Find P(D₂|D₁). What does this probability represent?
A. The probability that a black card was not selected second, given that a black card was selected first
B. The probability that both cards selected are black cards
C. The probability that a black was selected second, given that a black card was selected first
D. The probability that a black card was selected second, given that a black card was not selected first
P(D₂ID₁)=(Simplify your answer.)
c. Find the probability that both cards are black cards. Which of the following expressions represents this probability?
A. P(D|D2)
B. P(D₂⋂D₁)
C. P(D₂UD₁)
D. P(D₂)
E. P(D₂D₁)
F. P(D₁)
The probability that both cards are black cards is

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