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Probability question

2019 · Shift 1 · Q28

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Advanced
Mathematics
Probability
2019 · Shift 1 · Q28

Probability question

2019 · Shift 1 · Q28

JEE AdvancedMathematicsProbabilityMultiple correct+4 / −1

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 \over {10}}

,

{3 \over {10}}

and

{4 \over {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?

A
Probability that the chosen ball is green, given that the selected bag is B3, equals ${3 \over 8}$ .
B
Probability that the selected bag is B3, given that the chosen ball is green, equals ${5 \over 13}$ .
C
Probability that the chosen ball is green equals ${39 \over 80}$ .
D
Probability that the selected bag is B3 and the chosen ball is green equals ${3 \over 10}$ .

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