JEE Main 2026 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 6 April 2026, Shift 2, Maths Q9

Question 9 of 75 in this shift, Maths question 9 of 25, Section A.

A bag contains 6 blue and 6 green balls. Pairs of balls are drawn without replacement until the bag is empty. The probability that each drawn pair consists of one blue and one green ball is :

(1) $\frac{63}{925}$
(2) $\frac{17}{231}$
(3) $\frac{16}{231}$ Official answer
(4) $\frac{64}{925}$

Official answer

Option 3

NTA final key.

Chapter: Probability
Topic: Conditional Probability
Idea tested: Drawing Without Replacement

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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.