Question

three cards are randomly selected from a deck of 52 cards. after every draw, the card is not replaced back in the deck. find the probability of drawing two kings in a row, then an ace.

Answer 1

The probability of drawing two kings in a row, then an ace from a deck of cards without replacement is 1/221.

Step-by-step explanation:

To find the probability of drawing two kings in a row, then an ace, we need to consider the total number of ways these events can occur and divide it by the total number of possible outcomes.

There are 4 kings in a deck of 52 cards, so the probability of drawing a king on the first draw is 4/52. Since we do not replace the card, there are now 3 kings left in a deck of 51 cards, so the probability of drawing another king is 3/51.

After drawing two kings, there are still 4 aces left in a deck of 50 cards, so the probability of drawing an ace on the third draw is 4/50.

To find the overall probability, we multiply the probabilities of each event: (4/52) * (3/51) * (4/50) = 1/221.