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One hundred identical coins, each with p...

One hundred identical coins, each with probability 'p' of showing heads are tossed once. If `0 lt p lt 1` and the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, then the value of p is

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CENGAGE PUBLICATION-PROBABILITY-All Questions
  1. If P (E) = 0.05, what is the probability of ‘not E’?

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  2. India play two matches each with West Indies and Australia. In any ...

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  3. One hundred identical coins, each with probability 'p' of showing head...

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  4. The probability of India winning a test match against West Indies i...

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  5. An unbiased die with faced marked 1, 2, 3, 4, 5, and 6 is rolled four ...

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  6. For the three events A ,B, and C ,P (exactly one of the events A or B ...

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  7. A box contains 12 red and 6 white balls. Balls are drawn from the bag ...

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  8. Two numbers are selected randomly from the set S={1,2,3,4,5,6} without...

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  9. If the integers m and n are chosen at random between 1 and 100, then t...

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  10. If three distinct number are chosen randomly from the first 100 natura...

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  11. If P(B)=3//4, P(AnnBnnbarC)=1//3 and P( bar A nnBnn barC )=1//3, t h ...

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  12. Aa n dB are two independent events. C is event in which exactly one of...

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  13. Let Aa n dB be two event such that P(AuuB)geq3//4 and 1//8lt=P(AnnB)lt...

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  14. There are two red, two blue, two white, and certain number (greater th...

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  15. A drawer contains a mixture of red socks and blue socks, at most 17 in...

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  16. If the probability that the product of the outcomes of three rolls of ...

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  17. If two loaded dice each have the property that 2 or 4 is three times a...

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  18. An urn contains 3 red balls and n white balls. Mr. A draws two balls t...

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  19. Suppose Aa n dB are two events with P(A)=0. 5a n dP(AuuB)=0. 8. Let P(...

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  20. choose the correct answer from the given alternatives : 2.if A and B a...

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