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JEE Main 2026 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 2 April 2026, Shift 2, Maths Q8

Question 8 of 75 in this shift, Maths question 8 of 25, Section A.

A man throws a fair coin repeatedly. He gets 10 points for each head he throws and 5 points for each tail he throws. If the probability that he gets exactly 30 points is

\frac{m}{n}

, gcd

(m, n) = 1

, then

m + n

is equal to:

(1) $53$
(2) $55$
(3) $107$ Official answer
(4) $105$

Official answer

Option 3

NTA final key.

Chapter: Probability
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

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.