Question

Let the sample space be S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Suppose the outcomes are equally likely. Compute the probability of the event E = "an even number."

a. 0.5
b. 0.4
c. 0.6
d. 0.7

Answer 1

The probability of picking an even number from the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is 0.5, determined by dividing the 5 even numbers by the total 10 numbers in the sample space.

Step-by-step explanation:

To compute the probability of event E, which is described as the outcomes being an even number from the sample space S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, we need to count the number of even numbers in S and divide by the total number of outcomes. The even numbers (event E or A) in this sample space are A = {2, 4, 6, 8, 10}. This gives us 5 even numbers in total.

The total number of outcomes in the sample space S is 10. Therefore, the probability of picking an even number (P(E) or P(A)) is the number of even outcomes divided by the total number of outcomes in the sample space:

P(A) = number of outcomes in A / number of outcomes in S = 5 / 10 = 0.5. The correct answer is a. 0.5.