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Saturday, 31 October

JEE Main 2021 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 25 February 2021, Shift 1, Maths Q75

Question 75 of 90 in this shift, Maths question 15 of 30, Section A.

When a missile is fired from a ship, the probability that it is intercepted is 13\frac{1}{3} and the probability that the missile hits the target, given that it is not intercepted, is 34\frac{3}{4}. If three missiles are fired independently from the ship, then the probability that all three hit the target, is :
  1. (1)127\frac{1}{27}
  2. (2)18\frac{1}{8}Official answer
  3. (3)38\frac{3}{8}
  4. (4)34\frac{3}{4}

Official answer

Option 2

NTA final key.

Chapter
Probability
Topic
Conditional Probability
Idea tested
Multiplication Rule of Probability

Same idea in other shifts

Asked 2× in all
  1. 17 Mar 2021, Shift 2 · Q71Let a computer program generate only the digits 0 and 1 to form a string of binary numbers with probability of occurrence of 0 at even…MediumSingle 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 108 of the 174 JEE Main shifts held from 2017 to 2026.