A standard deck of 52 cards has 13 clubs, 13 diamonds, 13 hearts, and 13 spades.
Suppose that Ramón is going to draw 2 cards without replacement. Here are some events and their meanings:
Event Meaning
D₁ The first card is a diamond.
D₂ The second card is a diamond.
D₁ᶜ The first card is not a diamond.
D₂ᶜ The second card is not a diamond.
Consider this probability:
Pbeginpmatrix) D₁ᶜ. and D₂ᶜ)=P(D₁ᶜ)· P(D₂ᶜ|D₁ᶜ)
What does P(D₁ᶜ and D₂ᶜ) represent in this context?
a. The probability that neither card is a diamond.
b. The probability that both cards are diamonds.
c. The probability that the second card is a diamond given the first card is a diamond.
d. The probability that the second card is a diamond given the first card is NOT a diamond.