Q. 75.0( 3 Votes )

There are two bag

Answer :

Given: Bag A contains 3 white and 4 red balls while Bag B contains 4 white and 3 red balls


Let E1 = Selecting bag A, E2 = selecting bag B


Probability of selecting the bag is given by



Now the probability of the balls drawn from bag A


Total number of ways of getting 2 white and 1 red ball from bag A = 3C24C1 = 12


Total possible outcome is = 7C3 = 35


So


Now the probability of the balls drawn from bag B


Total number of ways of getting 2 white and 1 red ball from bag B = 4C23C1 = 18


So,


Probability of the balls being drawn from bag B is given by


Formula: Bayes theorem



Hence, probability that these were drawn from bag B

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