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Mathematics · 2024

JEE Main · 4 April 2024, Shift 2 · Q30

In a tournament, a team plays 10 matches with probabilities of winning and losing each match as 1/3 and 2/3 respectively. Let x be the number of…

In a tournament, a team plays $\displaystyle 10$ matches with probabilities of winning and losing each match as $\displaystyle \frac{1}{3}$ and $\displaystyle \frac{2}{3}$ respectively. Let $\displaystyle x$ be the number of matches that the team wins, and $\displaystyle y$ be the number of matches that team loses. If the probability $\displaystyle \mathrm{P}(|x-y| \leq$ $\displaystyle 2$) is $\displaystyle p$, then $\displaystyle 3^9 p$ equals $\displaystyle \_\_\_\_$.
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.