Mathematics · 2021
JEE Main · 25 July 2021, Shift 1 · Q74
Let 9 distinct balls be distributed among 4 boxes, B_1, B_2, B_3 and B_4. If the probability that B_3 contains exactly 3 balls is k (3/4)^9 then k…
Let $\displaystyle 9$ distinct balls be distributed among $\displaystyle 4$ boxes, $\displaystyle \mathrm{B}_1, \mathrm{~B}_2, \mathrm{~B}_3$ and $\displaystyle \mathrm{B}_4$. If the probability that $\displaystyle \mathrm{B}_3$ contains exactly $\displaystyle 3$ balls is $\displaystyle \mathrm{k}\left(\frac{3}{4}\right)^9$ then k lies in the set:
Official answer
(3)
$\displaystyle \{x \in \mathbf{R}:|x-3|<1\}$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.