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A chess game between two grandmasters X ...

A chess game between two grandmasters X and Y is won by whoever first wins a total of two games. X's chances of winning or loosing any perticular game are a, b and c, respectively. The games are independent and a+b+c=1.
The probability that X wins the match, is

A

`(a^(a+2c))/((a+c)^3)`

B

`(a^3)/((a+c)^3)`

C

`(a^2(a+3c))/((a+c)^3)`

D

`(c^3)/((a+c)^3)`

Text Solution

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The correct Answer is:
(c)
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ARIHANT MATHS-PROBABILITY-Exercise (Passage Based Questions)
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  2. A chess game between two grandmasters X and Y is won by whoever first ...

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  3. A chess game between two grandmasters X and Y is won by whoever first ...

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  4. There are n students in a class. Ler P(Elambda) be the probability tha...

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  5. There are n students in a class. Ler P(Elambda) be the probability tha...

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  6. There are n students in a class. Ler P(Elambda) be the probability tha...

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  7. A cube having all of its sides painted is cut by two horizontal, two v...

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  8. A cube having all of its sides painted is cut to be two horizontal , t...

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  9. A cube having all of its sides painted is cut to be two horizontal , t...

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  10. A JEE aspirant estimates that she will be successful with an 80 percen...

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  11. A JEE aspirant estimates that she will be successful with an 80 percen...

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  12. A JEE aspirant estimates that she will be successful with an 80 percen...

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  13. Suppose E1, E2 and E3 be three mutually exclusive events such that P(E...

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  14. Suppose E1, E2 and E3 be three mutually exclusive events such that P(E...

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  15. Suppose E1, E2 and E3 be three mutually exclusive events such that P(E...

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  16. Let A={1, 2, 3} and B={-2, -1, 0, 1, 2,3}. The probability of increas...

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  17. Let A={1, ,2, 3} and B={-2, -1, 0, 1, 2,3}. The probability of non d...

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  18. Let A={1, ,2, 3} and B={-2, -1, 0, 1, 2,3}. The probability of incre...

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  19. A random variable X takes the values 0,1,2,3,..., with prbability PX(=...

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  20. A random variable X takes values 0, 1, 2, 3,… with probability proport...

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