Question

A person chooses a single number in a set containing the numbers from 0 to 50. Find the set representing the event E of choosing a number that that can be evenly divided by 6. Give your answer as a set, e.g. {1,2,3}, and do not include E= in your answer.

Answer 1

Given:

Numbers in the set are from 0 to 50

Let's find the set representing the event E of choosing a number that can be evenly divided by 6.

Numbers that can be evenly divided by 6

Where:

Numbers that can be evenly divided by 6 in the set: {6, 12, 18, 24, 30, 36, 42, 48}

To find the set, we have:

`E=\mleft\lbrace6,12,18,24,30,36,42,48\mright\rbrace`

Therefore, the set representing the event E of choosing a number that can be evenly divided by 6 is:

`E=\lbrace6,12,18,24,30,36,42,48\rbrace`

ANSWER:

`\lbrace6,12,18,24,30,36,42,48\rbrace`