Question

Two cards are drawn at random from a pack of 52 cards. What is the probability that either both are black or both are queens?

Answer 1

The probability of drawing either two black cards or two queens from a standard deck of 52 cards is 0.2496.

Step-by-step explanation:

To find the probability that either both cards are black or both cards are queens, we can calculate the probabilities of each event separately and then add them together.

There are 26 black cards in a standard deck of 52 cards, so the probability of drawing two black cards is:

P(both black) = (26/52) * (25/51) = 0.2451

There are 4 queens in a standard deck of 52 cards, so the probability of drawing two queens is:

P(both queens) = (4/52) * (3/51) = 0.0045

Since these two events are mutually exclusive (you cannot draw two cards that are both black and queens), we can simply add the probabilities:

P(either both black or both queens) = P(both black) + P(both queens) = 0.2451 + 0.0045 = 0.2496