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A and B alternatively toss a fair coin. The first one to throw a head wins. If A starts, find their respective probabilities of winning.

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A and B alternatively toss a fair coin. The first once to throw a head wins. If A starts find their respective probabilities of winning.

A, B and C in order toss an unbiased coin. The first who throws 'head' wins. Find the respective probabilities of winning.

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A box contains N coins, m of wiich are fair and the rest are biased. The probability of getting a head when a fair coin is tossed is 1/2, while it is 2/3 when a biased coin is tossed. A coin is drawn from the box at random and is tossed twice. The first time it shows head and the second time it shows tail. What is the probability that the coin drawn is fair ?

A tennis match of best of 5 sets is played by two players A and B. The probability that first set is won by A is 1/2 and if he losed the first, then probability of his winning the next set is 1/4, otherwise it remains same. Find the probability that A wins the match.

A man alternately tosses a coin and throws a die beginning with the coin. The probability that he gets a head in the coin before he gets a 5 or 6 in the dice is 3//4 b. 1//2 c. 1//3 d. none of these

UNITED BOOK HOUSE-Model Test Set - 5-Exercise
  1. What are different measures of skewness.

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  2. A, B and C are three mutually exclusive and exhaustive events associat...

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  3. The probability that a student passes a physics test is 2/3 and the th...

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  4. Show that if events A and B are independent, then so are A^c and B^c.

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  5. What is the difference between A^@ and AU?

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  6. Write a short note on histogram of a frequency distribution.

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  7. If the relation between two variables x and y is 2x + 3y = 7 and media...

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  8. Suppose 2x - 3y = 5 is the relation between the varibles x and y. If t...

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  9. Derive Largrange’s interpolation formula for n = 3.

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  10. Prove that /\^2(ab^(ex))=(b^c-1)^2ab^(ex).

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  11. Given that x. y, z are unequal positive numbers show that 1/x+1/y+1/z ...

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  12. Prove that log5^7 < sqrt2.

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  13. If A an B are two events such that P(A) = 3/4 and P(B^c) = 3/8. then p...

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  14. An investment consultant predicts that the odds against the price of a...

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  15. A and B alternatively toss a fair coin. The first one to throw a head ...

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  16. What do you mean by purchasing power of money?

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  17. In a frequency table, the upper boundary of each class-interval has a ...

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  18. State and Prove the theorem of compound probability. If events are ind...

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  19. Three groups of children contain respectively 3 girls and 1 boy, 2 gir...

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  20. Write down uses of index numbers.

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