Question

Use the counting principle to determine the number of elements in the sample space. Two digits are selected with replacement from the digits 1, 2, 3, 4, 5, and 6.

Answer 1

Answer:

There are 36 elements in the sample space.

Step-by-step explanation:

We are given the following in the question:

Digits:

1, 2, 3, 4, 5, 6

Counting principle:

• It helps us to evaluate total number of events for a probability outcome.
• It is done by multiplying the events to get the total number of outcomes.

We need to select two digit from the set of given digits.

For the first number we have 6 possibilities that is  1, 2, 3, 4, 5, 6.Since sampling is done with replacement foe the second digit again we have 6 possibilities that is  1, 2, 3, 4, 5, 6.

Thus, number of elements in the sample space is given by

$n = 6\times 6 = 36$

There are 36 elements in the sample space.