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A bag contains `n` white and `n` red balls. Pairs of balls are drawn without replacement until the bag is empty. Show that the probability that each pair consists of one white and one red ball is `(2^n)/(^(2n)C_n)`

A

`(1)/(.^(2n)C_(n))`

B

`(2^(n))/(.^(2n)C_(n))`

C

`(2^(n))/(n!)`

D

`(2^(n))/((2n)!)`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-PROBABILITY -Chapter Test
  1. Two friends Aa n dB have equal number of daughters. There are three ci...

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  2. A bag contains n white and n red balls. Pairs of balls are drawn witho...

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  3. A bag contains 10 white and 3 black balls. Balls are drawn one by one...

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  4. If A1,A2,....An are n independent events such that P(Ak)=1/(k+1),K=1,2...

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  5. Three of the six vertices of a regular hexagon are chosen the rando...

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  6. Let 0ltP(A)lt1, 0ltP(B)lt1 and P(AcupB)=P(A)+P(B)-P(A)P(B), then,

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  7. Write the probability that a number selected at random from the set of...

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  8. For any two independent events E1 and E2 P{(E1uuE2)nn(bar(E1)nnbar(E2)...

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  9. If Aand B are two events than the value of the determinant choosen at ...

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  10. The probability that a man will live 10 more years is 1//4 and the pro...

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  11. The probability that atleast one of the events A and B occurs is 0.6. ...

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  12. A man alternately tosses a coin and throws a die beginning with the...

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  13. A and B are two independent events. The probability that A and B occur...

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  14. A, B, C are any three events. If P(S) denotes the probability of S hap...

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  15. In a class of 125 students 70 passed in Mathematics, 55 in Statistics,...

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  16. A box contains 10 mangoes out of which 4 are rotten. Two mangoes are t...

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  17. A lot consists of 12 good pencils , 6 with minor defects and 2 with ma...

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  18. 3 mangoes and 3 apples are in a box. If 2 fruits are chosen at random,...

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  19. There are 3 bags which are known to contain 2 white and 3 black, 4 ...

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  20. Among the workers in a factory only 30% receive bonus and among those ...

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