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? A) 5 B) 10 C) 25 D) 200

Question

Mathematics

Twiggy

21 April, 01:49

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? A) 5 B) 10 C) 25 D) 200

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Answers (1)

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Key · Answer 1

The numbers DO differ by 10 if they are

- 1 and 11

- 2 and 12

- 3 and 13

- 4 and 14

- 5 and 15

Each outcome technically has two ways of occurring, but since we're taking two marbles at a time, that would be the same as saying, for instance, that drawing 1 and 11 is the same as drawing 11 and 1. We only count such an event once.

So the answer is (a) 5.