JEE Main 2024 (Online) 9th April Evening ShiftQuestion 1
If an unbiased dice is rolled thrice, then the probability of getting a greater number in the $i^{\text{th}}$ roll than the number obtained in the $(i-1)^{\text{th}}$ roll, $i=2,3$, is equal to
Probability
Solution
Need strictly increasing $a<b<c$ over three rolls. Number of triples $=\binom63=20$ out of $216$. $P=\frac{20}{216}=\frac5{54}$. Option A.