Astraight 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. the machine uses a normal 52 card deck. ifi throw away the king and draw another card, what are your odds of making a straight?

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:

Hence, the probability of making a straight is 8/47 or 0.17

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