JEE Main 2026 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 5 April 2026, Shift 1, Maths Q7

Question 7 of 75 in this shift, Maths question 7 of 25, Section A.

A letter is known to have arrived by post either from KANPUR or from ANANTPUR. On the envelope just two consecutive letters AN are visible. The probability, that the letter came from ANANTPUR, is:

(1) $\frac{7}{10}$
(2) $\frac{10}{17}$ Official answer
(3) $\frac{12}{19}$
(4) $\frac{7}{19}$

Official answer

Option 2

NTA final key.

Chapter: Probability
Topic: Conditional Probability
Idea tested: Bayes' Theorem with Partial String Evidence

Same topic in other shifts

All Conditional Probability questions

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8 Apr 2025, Shift 2 · Q9If $A$ and $B$ are two events such that $P(A) = 0.7$ , $P(B) = 0.4$ and $P(A \cap \overline{B}) = 0.5$ , where $\overline{B}$ denotes the…MediumSingle correct
29 Jan 2024, Shift 1 · Q19A fair die is thrown until 2 appears. Then the probability, that 2 appears in even number of throws, isMediumSingle correct
31 Jan 2024, Shift 1 · Q19Two marbles are drawn in succession from a box containing 10 red, 30 white, 20 blue and 15 orange marbles, with replacement being made…EasySingle correct
28 Jul 2022, Shift 1 · Q9Out of 60% female and 40% male candidates appearing in an exam, 60% candidates qualify it. The number of females qualifying the exam is…EasySingle correct

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.