jee-main 2025 Q90

jee-main · India · session2_02apr_shift2 Binomial Distribution Compute Cumulative or Complement Binomial Probability
Q90. In a tournament, a team plays 10 matches with probabilities of winning and losing each match as $\frac { 1 } { 3 }$ and $\frac { 2 } { 3 }$ respectively. Let $x$ be the number of matches that the team wins, and $y$ be the number of matches that team loses. If the probability $\mathrm { P } ( | x - y | \leq 2 )$ is $p$, then $3 ^ { 9 } p$ equals $\_\_\_\_$
ANSWER KEYS

\begin{tabular}{|l|l|l|} \hline 1. (3) & 2. (1) & 3. (4) \hline 9. (2) & 10. (1) & 11. (1) \hline 17. (3) & 18. (4) & 19. (4) \hline 25. (750) & 26. (32) & 27. (5) \hline 33. (4) & 34. (2) & 35. (4) \hline
Q90. In a tournament, a team plays 10 matches with probabilities of winning and losing each match as $\frac { 1 } { 3 }$ and $\frac { 2 } { 3 }$ respectively. Let $x$ be the number of matches that the team wins, and $y$ be the number of matches that team loses. If the probability $\mathrm { P } ( | x - y | \leq 2 )$ is $p$, then $3 ^ { 9 } p$ equals $\_\_\_\_$

\section*{ANSWER KEYS}
\begin{center}
\begin{tabular}{|l|l|l|}
\hline
1. (3) & 2. (1) & 3. (4) \\
\hline
9. (2) & 10. (1) & 11. (1) \\
\hline
17. (3) & 18. (4) & 19. (4) \\
\hline
25. (750) & 26. (32) & 27. (5) \\
\hline
33. (4) & 34. (2) & 35. (4) \\
\hline