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In a game of Yahtzee, five balanced dice are rolled simultaneously. Find the probabilities of getting (a) two pairs; (b) three of a kind; (c) a full house (three of a kind and a pair); (d) four of a kind.

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Answer:

Following are the solution to this question:

Step-by-step explanation:

In point a, two pairs value is[tex]= \frac{25}{108}[/tex]

In point b, the three of a kind[tex]= \frac{25}{162}[/tex]

In point c, the value of the full house (three of a kind and a pair) [tex]= \frac{25}{648}[/tex]

In point d, the value of the four of a kind [tex]= \frac{25}{1296}[/tex]

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