Concept explainers
a.
To provide: The reason of Luis’
a.
Explanation of Solution
Given:
5 six sides dice have been rolled simultaneously.
To obtain Yahtzee, all 5 dice must have same numbers.
According to Luis, the probability of getting a Yahtzee is
Calculation:
The following numbers could be obtained by players 1, 2, 3, 4, 5 and 6.
Here all the dice are independent.
Thus, the probability of getting a Yahtzee is calculated as:
b.
To explain: Whether Nasir should be surprised if he does not obtain Yahtzee even after rolls. Also, support the answer by computing appropriate probability.
b.
Answer to Problem 26E
The probability is 0.9808.
Explanation of Solution
Calculation:
From above part, it is known that
The probability of not getting Yahtzee even after 25 rolls is computed as:
Since, the probability is above 0.05. Thus, it could be concluded that the probability of not getting Yahtzee is likely. Thus, Nasir should not be surprised.
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