Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA2022MathematicsProbabilityActual

The incidence of suffering from a disease among workers in an industry has a chance of 33 1 3 % . What is the probability that at least one out of 6 workers suffer from a disease?

Options

  1. A728 729
  2. B665 729
  3. C653 729
  4. D596 729

Correct answer

B. 665 729

Step-by-step solution

Let P = probability of workers which in suffering from disease. = 1 3 q =1- 1 3 = 2 3 P(x 1)=1-P(X=0)=1- 64 729 = 665 729

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