Given that the events A and B are such that P A -1-2- P A - B -3-5 and P B -p - Find p if they are i mutually exclusive ii independent-

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Standard XII

Mathematics

Conditional Probability

Given that th...

Question

Given that the events A and B are such thatand P (B) = p. Find p if they are (i) mutually exclusive (ii) independent.

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Solution

It is given that

(i) When A and B are mutually exclusive, A ∩ B = Φ

∴ P (A ∩ B) = 0

It is known that,

(ii) When A and B are independent,

It is known that,

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Given that the events A and B are such thatand P (B) = p. Find p if they are (i) mutually exclusive (ii) independent.

It is given that (i) When A and B are mutually exclusive, A ∩ B = Φ ∴ P (A ∩ B) = 0 It is known that, (ii) When A and B are independent, It is known that,

It is given that

(i) When A and B are mutually exclusive, A ∩ B = Φ

∴ P (A ∩ B) = 0

It is known that,

(ii) When A and B are independent,

It is known that,