JEE Main 2024 — Probability Question with Solution
JEE Main 2024 (08 Apr Shift 1)
Question
Three balls are drawn at random from a bag containing 5 blue and 4 yellow balls. Let the random variables and respectively denote the number of blue and yellow balls. If and are the means of and respectively, then is equal to________
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Show full solutionCorrect answer: 17
Correct answer
17
Step-by-step explanation
\begin{array}{|l|l|l|l|l|l|}<br />\hline yellow & 0 & 1 & 2 & 3 & 4 \\<br />\hline & & { }^5 \mathrm{C}_2{ }^4 \mathrm{C}_1 & { }^5 \mathrm{C}_1{ }^4 \mathrm{C}_2 & { }^5 \mathrm{C}_0{ }^4 \mathrm{C}_3 & 0 \\<br />\hline<br />\end{array}
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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.