Draw 5 cards from a standard deck of cards in order Given th

Draw 5 cards from a standard deck of cards (in order). Given that the first three cards were 3, 4, 5, what is the probability that you get a straight? (a straight is just 5 cards with consecutive face values)

Solution

Out of comb(52;5) = 2598960 ways to draw five cards you will get the following hands these number of times

Straight

19716

the probability that you get a straight =19716/2598960 =1/132 =0.00759