Three dice are rolled. If the probability of getting different numbers on the three dice is (p)/(q) , where p and q are co-prime, then q-p is equal to

Probability: Three dice are rolled. If the probability of getting different… | JEE Main 2023

JEE Main 2023 (Online) 6th April Evening ShiftQuestion 1

Three dice are rolled. If the probability of getting different numbers on the three dice is $\frac{p}{q}$, where $p$ and $q$ are co-prime, then $q-p$ is equal to

Probability

$4$✓ Correct answer$3$$2$$1$

Solution

$P=\frac{6\cdot5\cdot4}{216}=\frac59$, so $q-p=9-5=4$. Option A.

Probability - JEE Mathematics question (JEE Main 2023 (Online) 6th April Evening Shift)

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