Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA2013MathematicsProbabilityActual

In a relay race, there are six teams A , B , C , D , E and F. What is the probability that A , B , C finish first, second, third respectively?

Options

  1. A1 2
  2. B1 12
  3. C1 60
  4. D1 120

Correct answer

D. 1 120

Step-by-step solution

Probability that A comes first = 1 6 Probability that B comes second = 1 5 Probability that C comes third = 1 4 Required probability = 1 6 1 5 1 4 = 1 120

Practice Probability on Quantrex Academy →

More from Probability

Passage: Four dice are rolled. Question: What is the probability that getting a total of the numbers on the dice is 6 ? 2026Three events A , B and C are such that A and B are disjoint, A and C are independent, B and C are independent. If 4P(A)=2P(B)=P(C) and P(A B C)=5P(A) , then what is the value of P( 2026Passage: Let A , B , C and D be mutually exclusive and exhaustive events and P(A) 2 = P(B) 3 = P(C) 5 = P(D) 8 . Question: What is [2P(A)+3P(B)] [4P(C)+5P(D)] equal to ? 2026Passage: Four dice are rolled. Question: What is the probability that getting a total of the numbers on the dice is at least 23 ? 2026For a Binomial distribution with mean 6 and standard deviation 2 , what is the value of P(X=0) ? 2026Passage: A 4-digit number is selected at random formed by using the digits 0 , 1 , 2 , 3 and 4 (where repetition of digits is not allowed). Question: What is the probability that t 2026In an entrance test there are multiple choice questions. There are four options for each question, of which only one is correct. The probability that a student knows the answer to 2026Passage: Let A , B , C and D be mutually exclusive and exhaustive events and P(A) 2 = P(B) 3 = P(C) 5 = P(D) 8 . Question: If G is the geometric mean of P(A) , P(B) , P(C) and P(D) 2026 Full Probability list All NDA PYQs