Question

# I have three bags that each contain 100 marbles- Bag 1 has 75 red and 25 blue marbles, Bag 2 has 60 red and 40 blue marbles, Bag 3 has 45 red and 55 blue marbles. I choose one of the bags at random and then pick a marble from the chosen bag, also at random. What is the probability that the chosen marble is red?

A
0.60
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B
0.40
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C
0.50
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D
None of these
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Solution

## The correct option is A 0.60Given that bag 1 contains 75 red and 25 blue marblesGiven that bag 2 contains 60 red and 40 blue marblesGiven that bag 3 contains 45 red abd 55 blue marblesNow the probability of choosing red ball from bag 1 is 13×75100Now the probability of choosing red ball from bag 2 is 13×60100Now the probability of choosing red ball from bag 3 is 13×45100Now the probability of choosing red ball is 13(75+60+45100)=0.6 Hence, option A is correct.

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