What’s the probability of at least one card being an ace & exactly one black card?

Question

Three cards are drawn at random without replacement from a deck of 52 cards. What’s the probability of the events

a) at least 1 card is an ace

b )exactly 1 Card is black

Answer 1

a) determine probability that no cards are aces and subtract that probability from 1 4 aces in a deck.

probability that no card is an ace: 4/52 * 4/51 * 4/50. Compute and subtract from 1.

b) can either be: RBR, BRR or RRB

RBR = 26/52 *26/51 * 25/50

BRR =26/52 * 26/51 * 25/50

RRB = 26/52 * 25/51 * 26/50

Compute individual probabilities and add together.