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A bag contains a white and b black balls...

A bag contains `a` white and `b` black balls. Two players, `Aa n dB` alternately draw a ball from the bag, replacing the ball each time after the draw till one of them draws a white ball and wins the game. `A` begins the game. If the probability of `A` winning the game is three times that of `B ,` then find the ratio `a : b`

A

`1 : 2`

B

`2 : 1`

C

`1 : 1`

D

none of these

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-PROBABILITY -Section I - Mcqs
  1. If the letters of the word REGULATIONS be arranged at random, find t...

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  2. If the letters of the word REGULATIONS be arranged at random, find t...

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  3. A bag contains a white and b black balls. Two players, Aa n dB alterna...

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  4. Two number aa n db aer chosen at random from the set of first 30 natur...

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  5. Cards are drwn one by one without replacement from a pack of 52 cards....

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  6. If A and B are independent events, then A' and B' are also

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  7. A bag contains 4 tickets numbered 1, 2, 3, 4 and another bag contains ...

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  8. A six-faced dice is so biased that it is twice as likely to show an ev...

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  9. A bag contains an assortment of blue and red balls. If two balls are ...

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  10. A single letter is selected at random from the word PROBABILITY. Wh...

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  11. Three letters are written to different persons , and the addresses on ...

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  12. A coin is tossed three times. The probability of getting head and tail...

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  13. A bag contains 50 tickets numbered 1, 2, 3, .., 50 of which five are ...

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  14. One ticket is selected at random from 100 tickets numbered 00,01,02, …...

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  15. If the probability that A and B will die within a year are p and q res...

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  16. Four positive integers are taken at random and are multiplied together...

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  17. Two cards are drawn from a well shuffled deck of 52 cards.The probabil...

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  18. The probability that the roots of the equation x^(2)+nx+(1)/(2)+(n)/(2...

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  19. A matrix is chosen at random from the set of all matrices with eleme...

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  20. If an integer p is chosen at random in the interval 0le ple5, then the...

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