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Chapter 2: Q. 2.19 (page 49)

Two symmetric dice have had two of their sides painted red, two sides painted black, one painted yellow and the other painted white. When this pair of dice rolled, what is the probability that both dice land with same color face up?

Short Answer

Expert verified

The probability that both dice land with same color face up is0.2778

Step by step solution

01

Step 1

both the dice land on red sides in 2×2=4cases,

both the dice land on black sides in 2×2=4cases,

both the dice land on yellow and white sides in 1case each.

Total number of such cases is 10.

Total number of outcomes of dice is 36

Thus, the probability is1036=0.2778

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Most popular questions from this chapter

Suppose that an experiment is performed ntimes. For any event Eof the sample space, let n(E)denote the number of times that event Eoccurs and definef(E)=n(E)/n. Show that f(·)satisfies Axioms1,2,and3.

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Hint: Let Endenote the event that a 5occurs on the nth roll and no 5or7occurs on the first n-1rolls. Compute P(En) and argue that ∑n=1∞P(En)is the desired probability

Consider the matching problem, Example5m, and define it to be the number of ways in which theNmen can select their hats so that no man selects his own.

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