Answer:
The probability of dealing with a straight from a deck of 52 cards = 0.00394
Step-by-step explanation:
An ace must occur to have a straight, the Ace can either be high or low which can appear at the beginning or near the end. The rank of straight for an ace to occur range from 2,3,4,5,6,7,8,9,10.
If a suit is already at hand, and we have the opportunity to select four suits.
The number of possible straight = 4⁵ × 10
= 10240
Thus, the probability to deal with a straight = [tex]\dfrac{10240}{^{52}C_5}[/tex]
The probability to deal with a straight = [tex]\dfrac{10240}{\dfrac{52!}{5!(52-5)!} }[/tex]
The probability to deal with a straight = [tex]\dfrac{10240}{\dfrac{52!}{5!(47)!} }[/tex]
The probability to deal with a straight = [tex]\dfrac{10240}{2598960}[/tex]
The probability to deal with a straight = 0.00394
