If four fair dice are tossed, what is the probability that they will show (a) four different faces? (b) all four the same face? (c) all four the number “2”? (d) three times the number “2” and one different number?

If four fair dice are tossed, what is the probability that they will show (a) four different faces? (b) all four the same face? (c) all four the number “2”? (d) three times the number “2” and one different number?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

If four fair dice are tossed, what is the probability that they will show
(a) four different faces?
(b) all four the same face?
(c) all four the number “2”?
(d) three times the number “2” and one different number?

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Step 2: Find the probability that four different faces will show

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Step 3: Find the probability that all four dice will show the same face

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Step 4: Find the probability that all four dice will show the number "2"

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