A poker hand consists of five cards from a standard deck of

A poker hand consists of five cards from a standard deck of 52. (See the chart preceding Example 8.) Find the number of different poker hands of the specified type.

Straight (five cards of consecutive denominations: A, 2, 3, 4, 5 up through 10, J, Q,

Solution

Number of way to get straight = 4 * 10 = 40 from A2345,23456,........,10JQKA

There can be rearranged so, total number of way= 40 * 5! = 4800 times

Probability of straight = 4800 / 52P5 = 1.53 * 10^(-5)