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There are 3 bags, each containing 5 whit...

There are 3 bags, each containing 5 white balls and 3 black balls. Also there are 2 bags, each containing 2 white balls and 4 black balls. A white ball is drawn at random. Find the probability that this white ball is from a bag of the first group.

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A DAS GUPTA-Total Conditional Probability and Bayes' Theorem-Exercise
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  2. . In a bolt factory, machines M M2 M3 manufacture respectively 25, 35 ...

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  3. There are 3 bags, each containing 5 white balls and 3 black balls. Als...

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  4. A can hit a target 4 times in 5 shots B can hit 3 times in 4 ...

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  5. A bag contains 5 balls of unknown colours. A ball is drawn and replace...

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  6. A letter is known to have come from either MAHARASTRA or MADRAS. On th...

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  7. A bag contains 10 coins of which at least 2 are one-rupee coins. Two c...

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  8. . There are 3 coins in a box. The probability of getting head is 2/3 f...

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  9. A person goes to office either by car, scooter, bus or train probabili...

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  10. The probability that in a year of 22nd centurychosen at random, there ...

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  11. A bag X contains 3 white and 2 black balls; another bag Y contains 2 w...

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  12. There are two coupons each with a word written on them. On one of them...

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  13. Two persons X and Y throw two dice each. The probability that X throws...

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  14. A bag contains 3 red and 3 green balls and a person draws out 3 at ...

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  15. A purse contain n coins of unknown values .a coin is drawn from it at ...

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  16. In a city filmland there are 3 male superstars and 3 female superstars...

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  17. Three groups A, B and C are contesting for positions on the Board of D...

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  18. A purse containing16 notes, four each of denominations Rs 10, Rs 20, R...

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  19. An urn contains m white and n black balls. A ball is drawn at random ...

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  20. A bag contains p white and q red balls. m(m < p,m < q) balls are drawn...

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