CUET and UG exam BITSAT Mock Test Series 2025 Mathematics Probability Probability of Random Experiments
If \(12\) distinct balls are to be placed in \(3\) identical boxes, then the probability that one of the boxes contains exactly \(3\) balls is
1
\(\dfrac {55}{3}\left ( \dfrac {2}{3} \right )^{11}\)
2
\(55\left ( \dfrac {2}{3} \right )^{11}\)
3
\(22\left ( \dfrac {1}{3} \right )^{11}\)
4
\(228\left ( \dfrac {2}{3} \right )^{12}\)