What is the probability that a King is drawn from a deck of 52 cards, without replacement, and then a second King is drawn?

Question

*Remember to simplify your ratio—it MUST be in simplest form!

the probability is _/_

Answer 1

The probability of drawing a king the first time is 4 out of 52 because there are 4 kings and 52 cards. But, for the second draw, assuming your first draw was a king, the probability would be 3 out of 51 because now there are just 3 kings and 51 cards (it says "without replacement" so you don't put the first card back in the deck).

So the probability of both things happening is the product of the two or 4/52 times 3/51 = 12/2652. Since both numerator and denominator are divisible by 12, this fraction can be reduced to 1/221