Mathematics · 2013
JEE Main · 25 April 2013, Shift 1 · Q77
If the events A and B are mutually exclusive events such that P ( A )=(3 x+1)/3 and P ( B )=(1-x)/4, then the set of possible values of x lies in the…
If the events A and B are mutually exclusive events such that $\displaystyle \mathrm{P}(\mathrm{A})=\frac{3 x+1}{3}$ and $\displaystyle \mathrm{P}(\mathrm{B})=\frac{1-x}{4}$, then the set of possible values of $\displaystyle x$ lies in the interval :
Official answer
(3)
$\displaystyle \left[-\frac{1}{3}, \frac{5}{9}\right]$
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JEE Main 2013 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.