Answer the following questions briefly

MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability

Problem

Answer the following questions briefly, justifying each statement where necessary. (i) Define the union and the intersection of two events

A

and

B

in the context of probability theory. (ii) State the rule that relates

P(A\cup B)

P(A)

P(B)

, and

P(A\cap B)

for any two events

A

and

B

taken from the same sample space. (iii) Using the rule stated in part (ii), show that if the events

A

and

B

are mutually exclusive, then

P(A\cup B)=P(A)+P(B)