# Question: In a game of Yahtzee five balanced dice are rolled

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.

(a) Two pairs;

(b) Three of a kind;

(c) A full house (three of a kind And a pair);

(d) Four of a kind.

**View Solution:**## Answer to relevant Questions

Explain on the basis of the various rules of Exercises 2.5 through 2.9 why there is a mistake in each of the following statements: (a) The probability that it will rain is 0.67, And the probability that it will rain or snow ...At Roanoke College it is known that 13 of the students live off campus. It is also known that 59 of the students are from within the state of Virginia And that 34 of the students are from out of state or live on campus. What ...With reference to Exercise 2.70, what is the probability that one of the students will be living on campus given that he or she is from out of state? In exercise At Roanoke College it is known that 13 of the students live ...Use the formula of Theorem 2.7 to show that In Theorem 2.7 P(A ∪ B) = P(A) + P(B) – P(An B) (a) P(A ∩ B) ≤ P(A) + P(B); (b) P(A ∩ B) ≥ P(A) + P(B) - 1. Suppose that P, the price of a certain commodity (in dollars), and S, its total sales (in 10,000 units), are random variables whose joint probability distribution can be approximated closely with the joint probability ...Post your question