Two cards are randomly drawn from a standard of 52-playing cards without replacement. What is the probability of drawing a 2 followed by a 5?

1 Answer

#1/13xx4/51=4/663~=.006=0.6%#

Explanation:

When first drawing for a two, there are 4 two's in a deck of 52 cards:

#4/52=1/13#

The next card we want is a five. There are 4 five's in the deck. We've drawn one card already and so the probability is:

#4/51#

Put together, the odds of drawing a two followed by a five without replacement is:

#1/13xx4/51=4/663~=.006=0.6%#