There are three bags B 1 , B 2 and B 3 . The bag B 1 contains 5 red and 5 green balls, B…
Mathematics · JEE Advanced · NTA Exams — Statistics and Probability
There are three bags B1, B2 and B3. The bag B1 contains 5 red and 5 green balls, B2 contains 3 red and 5 green balls, and B3 contains 5 red and 3 green balls. Bags B1, B2 and B3 have probabilities 3/10, 3/10 and 4/10 respectively of being chosen. A bag is selected at random and a ball is chosen at random from the bag. Then which of the following options is/are correct?
- Probability that the chosen ball is green, given that the selected bag is B3, equals 3/8 .
- Probability that the selected bag is B3, given that the chosen ball is green, equals 5/13 .
- Probability that the chosen ball is green equals 39/80
- Probability that the selected bag is B3, and the chosen ball is green equals 3/10
Answer
(B) Probability that the selected bag is B 3 , given that the chosen ball is green, equals 5/13 .
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Events A and C are independent. If the probabilities relating A, B and C are P (A) = 1/5; P (B) = 1/6 ; P (A…
- There are n different gift coupons, each of which can occupy N(N > n) different envelopes, with the same…
- Three boys and two girls stand in a queue. The probability, that the number of boys ahead of every girl is at…
- Consider the system of equations ax + by = 0, cx + dy = 0, where a , b , c , d ∈ 0, 1 . Statement-1 : The…
- Let S and T are two events defined on a sample space with probabilities P(S) = 0.5, P(T) = 0.69, P(S/T) = 0.5…
- A student appears for tests I, II and III. The student is successful if he passes either in tests I and II or…
- The probability that atleast one of the events A and B occurs is 0.6. If A and B occur simultaneously with…
- Let A and E by any two events with positive probabilities: Statement 1 : P(E/A) ≥ P(A/E) P(E) Statement 2 …
More Statistics and Probability questions · Browse all practice questions