SOLUTION: A card is selected from a deck of 52 playing cards. Find the probability of selecting a) a diamond given the card is black b) a queen given the card is a picture card.

You can put this solution on YOUR website!
Probabilities are calculated by determining the number of possible ways the outcome could be considered a success divided by the total number of possible outcomes.

For your first situation, the denominator of the fraction is the number of black cards, namely half of the 52 cards, or 26. The numerator of the fraction is the number of those black cards that are diamonds, namely none. So the probability of selecting a diamond given that the color of the card is black is or just 0.

In the second part of the question we are given that the card is a picture card, so there are 3 kinds of picture cards, J, K, and Q, in each of 4 suits, so there are 12 total possibilities. Of these 12 possibilities, there are exactly 4 outcomes that could be considered a success, i.e. one Queen in each of the 4 suits. So your probability is