Mathematics · 2016
JEE Main · 9 April 2016, Shift 1 · Q87
If A and B are any two events such that P ( A )=2 / 5 and P ( A ∩ B )=3 / 20, then the conditional probability, P ( A ∣( A^′ ∪ B^′)), where A'…
If A and B are any two events such that $\displaystyle \mathrm{P}(\mathrm{A})=2 / 5$ and $\displaystyle \mathrm{P}(\mathrm{A} \cap \mathrm{B})=3 / 20$, then the conditional probability, $\displaystyle \mathrm{P}\left(\mathrm{A} \mid\left(\mathrm{A}^{\prime} \cup \mathrm{B}^{\prime}\right)\right)$, where A' denotes the complement of A, is equal to :
Official answer
(2)
$\displaystyle \frac{5}{17}$
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JEE Main 2016 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.