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An urn contains 25 balls of which 10 bal...

An urn contains 25 balls of which 10 balls bear a mark "X" and the remaining 15 bear a mark T. A ball is drawn at random from the urn, its mark is noted down and it is replaced. If 6 balls are drawn in this way, find the probability that (i) all

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An urn contains 25 balls of which 10 balls bear a mark "X" and the remaining 15 bear a mark Y. A ball is drawn at random from the urn, its mark is noted down and it is replaced. If 6 balls are drawn in this way, find the probability that (i)    all will bear "X" mark. (ii)   not more than 2 will bear "Y" mark, (iii) at least one ball will bear "Y" mark. (iv) the number of balls with "X" mark and Y mark will be equal.

An urn contains 25 balls of which 10 bear a mark 'x' and the remaining 15 bear a mark Y'. A ball is drawn at random from the urn, its mark noted down and it is replaced. If 6 balls are drawn in this way, find the probability that (i) all will bear mark 'X', (ii) not more than two will bear 'Y" mark, (iii) at least one ball will bear 'X' k and 'Y" mark will be equal

An urn contains 6 balls of which two are red and four are black. Two balls are drawn at random. Probability that they are of the different colours is

An urn contains 4 white 6 black and 8 red balls. If 3 balls are drawn one by one without replacement, find the probability of getting all white balls.

An urn contains four balls bearing numbers 1, 2, 3 and 123 respectively. A ball is drawn at random from the urn. Let E_i , i = 1, 2, 3 denote the event that digit i appears on the ball drawn. Which one of the following is not true?

An urn contains 2 white and 2 black balls.A ball is drawn at random.If it is white,it is not replace into urn,otherwise it is replaced along with another ball of the same colour.the process is repeated,then find the probabiltiy that the third ball drawn is black.

Urn A contains 6 red and 4 black balls and urn B contains 4 red and 6 black balls.One ball is drawn at random from urn A and placed in urn B.Then,one ball is drawn at random from urn B and placed in urn A.If one ball is drawn at random from urn A,the probability that it is found to be red,is....

Threre are 9 red,7 white and 4 black balls in an urn. Two balls are drawn at random from the urn. What will be the probability that both the balls are red ?

An urn contains one black ball and one green ball. A second urn contains one white and one green ball. One ball is drawn at random from each urn. What is the probability that both balls are of same colour?

MODERN PUBLICATION-PROBABILITY-Miscellaneous Exercise on Chapter 13
  1. A and B are two events such that P(A)!=0.Find P(B|A), if (i) A is a s...

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  2. A couple has two children, (i) Find the probability that both children...

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  3. Suppose that 5% of men and 0.25% of women have grey hair. A grey ha...

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  4. Suppose that 90% of people are right-handed. What is the probabilit...

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  5. An urn contains 25 balls of which 10 balls bear a mark "X" and the ...

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  6. In a hurdle race, a player has to cross 10 hurdles. The probability t...

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  7. A die is thrown again and again until three sixes are obtained. Find t...

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  8. If a leap year is selected at random, what is the chance that it will ...

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  9. An experiment succeeds twice as often as it fails. Find the probabi...

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  10. How many times must a man toss a fair com so that the probability o...

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  11. In a game, a man wins a rupee for a six and loses a rupee for any o...

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  12. Suppose we have four boxes A,B,C and D containing coloured marbles ...

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  13. Assume that the chances of a patient having a heart attack is 40%. ...

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  14. If each element of a second order determinant is either zero or one, ...

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  15. An electronic assembly consists of two subsystems, say, A and B. Fr...

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  16. Bag I contains 3 red and 4 black balls and Bag II contains 4 red an...

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  17. If A and B are two events such that P(A)ne0 and P(B//A)=1, then :

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  18. If P(A//B)gt P(A), then which of the following is correct :

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  19. If A and B are any two events such that P(A)+P(B)-P( A "and" B)=P(A), ...

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