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A chess game between Kamsky and Anand is...

A chess game between Kamsky and Anand is won by whoever first wins a out of 2 games. Kamsky's chance of winnig, drawing or lossing a particular game are 2. The games are independent and `p+q +r=1`. Prove that the probability that Kamsky wins the match is `(p^2(P+3r))/((p+r)^3)`.

A

`na^2b^(n-1)`

B

`na^2b^(n-2)(b+(n-1)c)`

C

`na^2bc^(n-1)`

D

`nab^(n-1)(b+nc)`

Text Solution

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The correct Answer is:
(b)
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ARIHANT MATHS ENGLISH-PROBABILITY-Exercise (Passage Based Questions)
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  2. If pa n dq are chosen randomly from the set {1,2,3,4,5,6,7,8,9, 10} wi...

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  3. A chess game between Kamsky and Anand is won by whoever first wins a o...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Let A = {1, 2, 3}, B = {2, 4} and R = {(1, 2), (2, 2), (2, 4), (3, 4)}...

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

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

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