Question

Given two independent events A and B, the probability of both event A and event B occurring is equal to the probability of A plus the probability of B. Please Explain.

Answer 1

Explanation:

You would add probabilities if you want to find out if one event or another could happen. For example, if you roll a die, and you wanted to know the probability of rolling a 1 or a 6, then you would add the probabilities:

Probability of rolling a 1: 1/6

Probability of rolling a 6: 1/6

So the probability of rolling a 1 or a 6 is 1/6 + 1/6 = 2/6 = 1/3.