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Probability question

2022 · 25 Jun · Shift 1 · Q30

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PYQ Library
JEE Main
Mathematics
Probability
2022 · 25 Jun · Shift 1 · Q30

Probability question

2022 · 25 Jun · Shift 1 · Q30

JEE MainMathematicsProbabilityMCQ+4 / −1

Let E1 and E2 be two events such that the conditional probabilities

P({E_1}|{E_2}) = {1 \over 2}

,

P({E_2}|{E_1}) = {3 \over 4}

and

P({E_1} \cap {E_2}) = {1 \over 8}

. Then :

A
$P({E_1} \cap {E_2}) = P({E_1})\,.\,P({E_2})$
B
$P(E{'_1} \cap E{'_2}) = P(E{'_1})\,.\,P(E{_2})$
C
$P({E_1} \cap E{'_2}) = P({E_1})\,.\,P({E_2})$
D
$P(E{'_1} \cap {E_2}) = P({E_1})\,.\,P({E_2})$

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