Question

The probability that event M will not occur is 0.8 and the probability that event R will not occur is 0.6. If events M and R cannot both occur, which of the following is the probability that either event M or event R will occur?

A) 1/5 B) 2/5 C) 3/5 D) 4/5 E) 12/25

Answer 1

11/25 The right answer is not a part of the options given.

Explanation:

Given;

Probability that event M will not occur = 0.8

Probability that event R will not occur = 0.6

Then the ;

Probability that event M will occur = 1 - 0.8 = 0.2

Probability that event R will occur = 1 - 0.6 = 0.4

If events M and R cannot both occur, probability that either event M or event R will occur

= probability that M occurs and R does not or the probability that R occurs and M does not

= 0.2 × 0.6 + 0.4 × 0.8

= 0.12 + 0.32

= 0.44

= 11/25