Let $E$ and $F$ be two independent events. The probability that both $E$ and $F$ happens is $\frac{1}{{12}}$ and the probability that neither $E$ nor $F$ happens is $\frac{1}{2},$ then
Let $E$ and $F$ be two independent events. The probability that both $E$ and $F$ happens is $\frac{1}{{12}}$ and the probability that neither $E$ nor $F$ happens is $\frac{1}{2},$ then
- [IIT 1993]
- A
$P\,(E) = \frac{1}{3},\,\,P\,(F) = \frac{1}{4}$
- B
$P\,(E) = \frac{1}{2},\,\,P\,(F) = \frac{1}{6}$
- C
$P\,(E) = \frac{1}{6},\,\,P\,(F) = \frac{1}{2}$
- D
None of these
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- [IIT 2021]
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