If P(A) = $3 over 5$ and $straight P left parenthesis straight B right parenthesis space equals space 1 third comma$ find:
(i) P(A or B), if A and B are mutually exclusive events.
(ii) P (A and B), if A and B are independent events.

Solution

Here $straight P left parenthesis straight A right parenthesis space equals space 3 over 5 comma space space straight P left parenthesis straight B right parenthesis space equals 1 third$
(i) $straight P left parenthesis straight A space or space straight B right parenthesis space equals space straight P left parenthesis straight A right parenthesis space plus space straight P left parenthesis straight B right parenthesis space space space left square bracket because space straight A space and space straight B space are space mutually space exclusive space events right square bracket$
$equals space 3 over 5 plus 1 third space equals fraction numerator 9 plus 5 over denominator 15 end fraction space equals 14 over 15$
(ii) Since A and B are independent events
$straight P left parenthesis straight A space and space straight B right parenthesis space equals space straight P left parenthesis straight A right parenthesis space cross times space straight P left parenthesis straight B right parenthesis space equals space 3 over 5 cross times 1 third space space equals 1 fifth$

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Probability

If P(A) = $3 over 5$ and $straight P left parenthesis straight B right parenthesis space equals space 1 third comma$ find:
(i) P(A or B), if A and B are mutually exclusive events.
(ii) P (A and B), if A and B are independent events.

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Probability

If P(A) = and find:(i) P(A or B), if A and B are mutually exclusive events.(ii) P (A and B), if A and B are independent events.

Some More Questions From Probability Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

If P(A) = $3 over 5$ and $straight P left parenthesis straight B right parenthesis space equals space 1 third comma$ find:
(i) P(A or B), if A and B are mutually exclusive events.
(ii) P (A and B), if A and B are independent events.