The sample space of an experiment is S={1, 2, 3, 4, 5}. If each outcome is equally likely to occur

Answer 1

, the probability of each outcome is 1/5 or 0.2.

For example, the probability of rolling a 3 with a fair six-sided die is also 1/6 or approximately 0.167.

To calculate the probability of an event A, which is a subset of the sample space S, we add up the probabilities of all outcomes in A:

P(A) = sum of probabilities of all outcomes in A

For example, if event A is "rolling an odd number", then A={1,3,5} and

P(A) = P(1) + P(3) + P(5)
= 0.2 + 0.2 + 0.2
= 0.6

So the probability of rolling an odd number in this experiment is 0.6 or 60%.