Probability · Question 24 · Medium

Probability question 24

Anu speaks the truth in 3 out of 4 cases and Bina in 4 out of 5 cases, independently. What is the probability that they contradict each other when stating the same fact?

  1. 7/20
  2. 13/20
  3. 1/20
  4. 3/5
Answer and explanation

Answer: A. 7/20

Explanation: They contradict when exactly one tells the truth: (3/4)(1/5) + (1/4)(4/5) = 3/20 + 4/20 = 7/20.

Previous: Three fair dice are rolled together. What is the probability that all three… · Next: A number is chosen at random from 1 to 100. What is the probability that it is…

Practise probability

Try a fresh set of probability questions with an explanation after every answer, free and without signing up: Probability practice. Or sit a full placement mock test.

More probability questions

More quantitative aptitude practice

Data Interpretation · Mensuration · Algebra & Equations · Number System · HCF & LCM · Simplification · Percentages · Profit & Loss

LogicWiz Exams home · All practice topics · Placement mock tests · Daily 10 challenge