A sample space consists of 9 elementary outcomes whose probabilities are Suppose
(a) List the composition of the event A U B, and calculate P (A U B) by adding the probabilities of the elementary outcomes.
(b) Calculate P (B) from P (B), also calculate P (B directly from the elementary outcomes of .
A sample space consists of 9 elementary outcomes whose probabilities are Suppose
(a) List the composition of the event A U B, and calculate P (A U B) by adding the probabilities of the elementary outcomes.
(b) Calculate P (B) from P (B), also calculate P (B directly from the elementary outcomes of .

Solution:
It is given that

(a) and

Substituting the values,

(b) We need to find
Using the Complement Rule, we have

On substituting the given values, we obtain