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Friday, 9 October

JEE Main 2026 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 5 April 2026, Shift 2, Maths Q8

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

The 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 selected the captain, the probability that the team wins the tournament is 0.8 and if B is selected the captain, the probability that the team wins the tournament is 0.7. Then the probability, that the team wins the tournament, is :
  1. (1)0.740.74
  2. (2)0.760.76Official answer
  3. (3)0.720.72
  4. (4)0.780.78

Official answer

Option 2

NTA final key.

Chapter
Probability
Topic
Conditional Probability
Idea tested
Law of Total Probability

Same topic in other shifts

All Conditional Probability questions
  1. 5 Apr 2026, Shift 1 · Q7A letter is known to have arrived by post either from KANPUR or from ANANTPUR. On the envelope just two consecutive letters AN are…MediumSingle correct
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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.