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Finite Mathematics

7th Edition
Stefan Waner + 1 other
ISBN: 9781337280426
Textbook Problem

In Exercises 1–16, list the elements in the given set.

The set of all outcomes of rolling two distinguishable dice such that the numbers add to 1

To determine

The elements of the set of all outcomes of rolling two distinguishable dice such that the numbers adds to 1.

Explanation

Given Information:

The set contains all outcomes of rolling two distinguishable dice. The sum of the two numbers on the dice is 1.

Consider the provided set with all outcomes of rolling two distinguishable dice to be S.

Here the set of outcomes for rolling a dice is from 1 to 6.

That is A={1,2,3,4,5,6}.

Since, the dice are distinguishable, thus, the sample space for the toss of two distinguishable dice is

A×A={1,2,3,4,5,6}={(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)(3,1),(3,2),(3,3),(3,4)

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