Suppose 5 fair dice are thrown. -What is the probability of getting a triple and

Question

Suppose 5 fair dice are thrown.
-What is the probability of getting a triple and a pair (full house) -A set of four (quadruple)? -All five agreeing? Suppose 5 fair dice are thrown.
-What is the probability of getting a triple and a pair (full house) -A set of four (quadruple)? -All five agreeing?
-What is the probability of getting a triple and a pair (full house) -A set of four (quadruple)? -What is the probability of getting a triple and a pair (full house) -A set of four (quadruple)? -All five agreeing?

Explanation / Answer

5 fair dice are thrown= total outputs=6^5=7776

What is the probability of getting a triple and a pair= 5c3*5c2 =10*10=100

p=100/7776=0.01286

A set of four=5c4=5

p=5/7776=0.00064300411

All five agreeing

p=1/7776=0.000128600823

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