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Friday, 9 October

JEE Main 2022 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 28 July 2022, Shift 1, Maths Q9

Question 9 of 90 in this shift, Maths question 9 of 30, Section A.

Out of 60% female and 40% male candidates appearing in an exam, 60% candidates qualify it. The number of females qualifying the exam is twice the number of males qualifying it. A candidate is randomly chosen from the qualified candidates. The probability, that the chosen candidate is a female, is :
  1. (1)34\frac{3}{4}Official answer
  2. (2)1116\frac{11}{16}
  3. (3)2332\frac{23}{32}
  4. (4)1316\frac{13}{16}

Official answer

Option 1

NTA final key (2022 Session 2).

Chapter
Probability
Topic
Conditional Probability
Idea tested
Conditional Probability Definition

Same topic in other shifts

All Conditional Probability questions
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  2. 5 Apr 2026, Shift 2 · Q8The probabilities that players A and B of a team are selected for the captaincy for a tournament are 0.6 and 0.4, respectively. If A is…EasySingle correct
  3. 6 Apr 2026, Shift 2 · Q9A bag contains 6 blue and 6 green balls. Pairs of balls are drawn without replacement until the bag is empty. The probability that each…MediumSingle correct
  4. 8 Apr 2025, Shift 2 · Q9If AA and BB are two events such that P(A)=0.7P(A) = 0.7, P(B)=0.4P(B) = 0.4 and P(A∩B‾)=0.5P(A \cap \overline{B}) = 0.5, where B‾\overline{B} denotes the…MediumSingle correct
  5. 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
  6. 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

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.