(a).
To find: The probability that a hand will contain at least one king.
The probability that a hand will contain at least one king is
Given information:
In the original version of poker known as “straight” poker, a
Calculation:
Probability of no kings and probability of at least one king must add up to one so probability of at least one king would be one minus probability of no kings.
The probability of getting no kings is
Now, calculate
Substitute the values:
Hence, the probability that a hand will contain at least one king is
(b).
To find: The probability a hand will be a “full house” (any three of one kind and a pair of another kind).
The probability that a hand will be a “full house” is
Given information:
In the original version of poker known as “straight” poker, a
Calculation:
A full house is getting
Now, calculate
Permutation formula:
Substitute the values:
Hence, the probability a hand will be a “full house” (any three of one kind and a pair of another kind) is
Chapter 10 Solutions
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