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Two numbers are selected at random from first six positive integers. Let X denote the larger of the two numbers obtained. Find the probability distribution of X. find the mean and variance of this distribution.

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PRADEEP PUBLICATION-PROBABILITY-EXERCISE
  1. Two numbers are selected at random from first six positive integers. L...

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  2. A dice is rolled twice in succession. Find the probability of a number...

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  3. There are two independent events E1 and E2 and P(E1)=0.30, P(E2)=0.60 ...

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  4. There are two independent events E1 and E2 and P(E1)=0.30, P(E2)=0.60 ...

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  5. There are two independent events E1 and E2 and P(E1)=0.30, P(E2)=0.60 ...

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  6. There are two independent events E1 and E2 and P(E1)=0.30, P(E2)=0.60 ...

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  7. Let E1 and E2 be two independent events such that P(E1)=rho1 and P(E2)...

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  8. Let E1 and E2 be two independent events such that P(E1)=rho1 and P(E2)...

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  9. Let E1 and E2 be two independent events such that P(E1)=rho1 and P(E2)...

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  10. Let E1 and E2 be two independent events such that P(E1)=rho1 and P(E2)...

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  11. A bag contains 5 red, 7 green and 4 white balls. Three balls are drawn...

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  12. A bag contains 5 red, 7 green and 4 white balls. Three balls are drawn...

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  13. A bag contains 5 white, 7 red and 8 black balls. If four balls are dra...

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  14. If A and B are two independent events such that P(AuuB)=0.6 and P(A)=0...

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  15. If A and B are two independent events such that P(AcupB)=0.5, P(B)=0.2...

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  16. Two dice are thrown together and the total score is noted. The events ...

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  17. Three events A, B and C have probabilities 2/5,1/3 and 1/2, respectiv...

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  18. A coin is tossed successively three times. Determine the probability o...

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  19. Three coins are tossed once. Find the probability of getting at least ...

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  20. Three coins are tossed. Find the probability of : atmost two heads

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  21. A coin and a dice are thrown. What is the probability of getting "a he...

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