JEE Main 2024 — Probability Question with Solution
JEE Main 2024 (09 Apr Shift 1)
Question
Let and denote the outcome of three independent rolls of a fair tetrahedral die, whose four faces are marked . If the probability that has all real roots is , , then is equal to ________
Enter your answer
Show full solutionCorrect answer: 19
Correct answer
19
Step-by-step explanation
Tetrahedral dice has all real roots $\begin{aligned} & \Rightarrow \mathrm{D} \geq 0 \\ & \Rightarrow \mathrm{b}^2-4 \mathrm{ac} \geq 0 \end{aligned}b=1 \Rightarrow 1-4 a c \geq 0$ (Not feasible)
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Probability chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2024, covering the Probability chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.