Offline paper
Mathematics · 2017
JEE Main 2017 · 2017-04-02 Offline · Q86
For three events A, B and C, P(Exactly one of A or B occurs) = P (Exactly one of B or C occurs) = P ( Exactly one of C or A occurs )=1/4 and P(All…
For three events A, B and C,
P(Exactly one of A or B occurs)
$\displaystyle =\mathrm{P}$ (Exactly one of B or C occurs)
$\displaystyle =\mathrm{P}($ Exactly one of C or A occurs $\displaystyle )=\frac{1}{4}$ and P(All the three events occur simultaneously) $\displaystyle =\frac{1}{16}$.Then the probability that at least one of the events occurs, is :
Official answer
(1)
$\displaystyle \frac{7}{16}$
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JEE Main 2017 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.