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There are two identical boxes. Box I con...

There are two identical boxes. Box I contains 5 red and 4 black balls, while Box II contains 3 red and 3 black balls. A person chosen a box at random and takes out a ball
a. Find the probability that the ball drawn is red.
b. If the ball drawn is black, what is the probability that it is drawn from Box II.

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The correct Answer is:
`(19)/(36), (9)/(17)`
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NEW JOYTHI PUBLICATION-PROBABILITY-QUESTIONS FROM COMPETITIVE EXAMS
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  6. If three natural numbers from 1 to 100 are selected randomly then pro...

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  7. If A and B are any two events, then P(A cap B')=

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  8. A complete cycle of a traffic light takes 60 seconds. During each cyc...

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  9. If A and B are mutually exclusive events and if P(B)=(1)/(3), P(A cup...

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  10. If two numbers p and q are chosen randomly from the set {1, 2, 3, 4} ...

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  11. A die is rolled three times. The probability that the sum of three nu...

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  12. Five dice are tossed. What is the probability that the five numbers s...

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  13. If two dice are thrown simultaneously, then the probability that the ...

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  14. Let A and B be two events such that P(A cup B) = P(A) + P(B) - P(A)P(...

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  15. A and B are events such that P(A cip B)= (3)/(4), P(A cap B)= (1)/(4...

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  16. Events A, B, C are mutually exclusive events such that P(A) = (3x +1...

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  17. Five horses are in a race. Mr. A selects two of the horses at random ...

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  18. Three houses are available in a locality. Three persons apply for the...

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  19. A die is thrown. Let A be the event thatthe number obtained is greater...

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  20. An urn contains nine balls of which three are red, four are blue and ...

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  21. Four numbers are chosen at random (without replacement) from the set...

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