Question

One digit is chosen from the digits 0 through 9. The sample space S is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. List the elements in the following events. (See Example 2 in this section. Enter your answers as comma-separated lists.)

(b)
The number is divisible by 3.
{ }

Answer 1

The elements in the event of a number being divisible by 3 are 0, 3, 6, and 9.

Step-by-step explanation:

The sample space for the given scenario is S = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. To list the elements in the event of a number being divisible by 3, we can look for the numbers in the sample space that are divisible by 3. These numbers are 0, 3, 6, and 9. Therefore, the elements in the event of the number being divisible by 3 are {0, 3, 6, 9}.

Answer 2

The numbers divisible by 3 are

{0,3,6,9}

Step-by-step explanation:

Here, out of the sample space, we want to list the numbers which are divisible by 3

That will be;

{0,3,6,9}