Question

Can someone help me : Event E is defined as the occurrence of one or more of two mutually exclusive events, E1 and E2. How can you find the probability of E?

Add the probabilities of E1 and E2.

Multiply the probabilities of E1 and E2.

Add the probabilities of E1 and E2, and then subtract their product.

Multiply the probabilities of E1 and E2, and then subtract their sum.

Answer 1

E1=1, 3, 5, 7, 9, 12, 14, 16, 18, 19, 21, 23, 25, 27, 30, 32, 34, 36

E2=1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35

E1 and E2=1, 3, 5, 7, 9, 19, 21, 23, 25, 27

E1 or E2=1, 3, 5, 7, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 23, 25, 27, 29, 30, 31, 32, 33, 34, 35, 36

Explanation:

Plato

Answer 2

Mutually exclusive events means they cannot happen together.

If one happens the other(s) cannot happen.

The probability that two or more of them happen is 0.

The probability that it happens one or another is the sum of the individual probabilities.

Then, in this case the probability of E will be the probability of E1 + the probability of E2, given that they cannot happen together.

In conclusion, the answer is the first option: "Add the probabilities of E1 and E2".