Q. 7

# Let E1 and E2 be the events such that and Find:(i)P(E1∪ E2), when E1 and E2 are mutually exclusive.(ii )P(E1∩ E2), when E1 and E2 are independent

Given: E1 and E2 are two events such that P(E1) = and P(E2) = To Find: i)P(E1 E2) when E1 and E2 are mutually exclusive.

We know that,

When two events are mutually exclusive P(E1 E2) = 0

Hence, P(E1 E2) = P(E1) + P(E2)

= + = Therefore , P(E1 E2) = when E1 and E2 are mutually exclusive.

ii) P(E1 E2) when E1 and E2 are independent.

We know that when E1 and E2 are independent ,

P(E1 E2) = P(E1) P(E2)

= = Therefore, P(E1 E2) = when E1 and E2 are independent.

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