There are bags B_1,B_2 and B_1 contains 5 red and 5 green balls, B_2 contains 3 red 5 green balls, and B_3 contains 5 red and 3 green balls, Bags B_1,B_2 and B_3 have probabilities 3/10,3/10 and 4/10 respectively of being chosen. A bag is selected at randomand a balls is chosen at random from the bag. Then which of the following options is/are correct? [JEE Adv 2019 P1]

Probability that the chosen balls is green equals 39/80

Probability that the selected bag is B_3, given that the chosen ball is green, equals 5/13

Probability that the chosen ball is green, given that the selected bag is B_3 ,equals 3/8

Probability that the selected bag is B_3and the chosen ball is green equals 3/10

Probability

Section: Mathematics

Question : 22 of 52

Marks: +1, -0

There are bags B1,B2 and B1 contains 5 red and 5 green balls, B2 contains 3 red 5 green balls, and B3 contains 5 red and 3 green balls, Bags B1,B2 and B3 have probabilities

and

respectively of being chosen. A bag is selected at randomand a balls is chosen at random from the bag. Then which of the following options is/are correct?

[JEE Adv 2019 P1]

Probability that the chosen balls is green equals
39
80
Probability that the selected bag is B3, given that the chosen ball is green, equals
5
13
Probability that the chosen ball is green, given that the selected bag is B3 ,equals
3
8
Probability that the selected bag is B3and the chosen ball is green equals
3
10

Validate

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