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JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 4 August 2021, Shift 2, Maths Q65

Question 65 of 90 in this shift, Maths question 5 of 30, Section A.

A fair coin is tossed

n

times. If the probability of getting 6 heads is equal to that of getting 8 tails, then the probability of getting 2 heads, is

(1) $\frac{91}{2^{14}}$ Official answer
(2) $\frac{13}{2^{14}}$
(3) $\frac{1}{7}$
(4) $\frac{51}{2^{14}}$

Official answer

Option 1

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 108 of the 174 JEE Main shifts held from 2017 to 2026.