Given a standard deck of 52 playing cards, what is the probability of randomly drawing a 2 and then a 3 if the first card is not replaced?

The probability of randomly drawing a 2 for the first card is 4/52 because there are 4 2's and a total of 52 cards.

The probability of following that with a 3 is 4/51 because there are 4 3's but only 51 cards remaining.

Probability =  4/52 x 4/51  =  4/663.

Probabilty of drawing a 2 and then a 3 = 4/52 x 4/51 = 16 / 2652  = .006  = about .6%