A bag contains 15 marbles numbered from 1 to 15. Two marbles are selected from the bag at the same time. Let event E = the two numbers do NOT differ by 10 How many outcomes are in the complement of E?

Question

Mathematics

Felix Terrell

3 January, 11:10

A bag contains 15 marbles numbered from 1 to 15. Two marbles are selected from the bag at the same time. Let event E = the two numbers do NOT differ by 10 How many outcomes are in the complement of E?

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Will Curtis · Answer 1

When we say, complement of event E, where E is such that the numbers will not have a difference of 10, we mean to determine the number of outcomes in which the numbers randomly picked will have a difference of 10. These pairs are 15 and 5, 14 and 4, 13 and 3, 12 and 2, 11 and 1. Thus, there are 5 complements of E.