Answer:
The probability of making a straight is 8/47 or 0.17
Step-by-step explanation:
Consider the provided information.
A straight is a poker hand that consist of 5 cards in a sequence. Suppose you are playing video poker and are dealt 4,5,6,7 King.
To make a straight we need 3 or 8.
If we get 3 then there will be a straight 3,4,5,6,7.
If we get 8 then there will be a straight 4,5,6,7,8.
There are 4 cards of 3 and 4 cards of 8.
So, the total number of favorable cards are 4+4=8
We know there are 52 cards in a deck out of which 5 is in your hand.
So the number of cards in a deck is:
52 - 5 = 47 cards
Thus, the probability of making a straight is:
[tex]Probability=\frac{\text{Favorable outcomes}}{\text{Total number of outcomes}}[/tex]
[tex]Probability=\frac{8}{47}=0.17[/tex]
Hence, the probability of making a straight is 8/47 or 0.17
