Question

Using 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

Answer 1

The number of elements in the sample space when two digits are selected with replacement from the digits 1, 2, 3, 4 is 16.

Step-by-step explanation:

The problem is asking to determine the number of elements in the sample space when two digits are selected with replacement from the digits 1, 2, 3, 4.

The counting principle states that if there are 'n' ways to do one thing and 'm' ways to do another, then there are 'n x m' ways to do both. In this case, there are 4 choices for each digit, so using the counting principle, the total number of elements in the sample space is 4 x 4 = 16.

Answer 2

Sample space = {1,2,3,4} = 4 possible outcomes
(I guess you are asked to find the probability, if not do complete your question)
If so, then
Any 2 digits selected from the sample space with replacement its
Probability is P(any 2 digits) = 2/4 = 1/2 = 0.5