Home
Class 12
MATHS
Two players P(1)and P(2) are playing the...

Two players `P_(1)and P_(2)` are playing the final of a chess championship, which consists of a series of matches. Probability of `P_(1)` winning a match is 2/3 and that of `P_(2) ` is 1/3. Thus winner will be the one who is ahead by 2 games as compared to the other player and wins at least 6 games. Now, if the player `P_(2)` wins the first four matches, find the probability of `P_(1)` wining the championship.

Promotional Banner

Topper's Solved these Questions

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    CENGAGE PUBLICATION|Exercise Sovled Examples|22 Videos

  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise JEE Advanced|7 Videos

Similar Questions

Explore conceptually related problems

If the probability of winning a game is 0.3, what is the probability of loosing it ?

Two players A and B toss a die alternately he who first throws a six wins the game if A begins what is the probability that he wins? What is the probability of B winning the game?

Sangeeta and Reshma, play a tennis match. It is known that the probability of Sangeeta winning the match is 0.62. What is the probability of Reshma winning the match?

The probability of India winning a test match against West Indies is 1/2. Assuming independence from match to match, find the probability that in a match series India’s second win occurs at the third test.

A and B throw a die alternatively till one of them gets a '6' and wins the game. Find their respective probabilities of winning, if A starts first.

A tennis match of best of 5 sets is played by two players A and B. The probability that first set is won by A is 1/2 and if he losed the first, then probability of his winning the next set is 1/4, otherwise it remains same. Find the probability that A wins the match.

The probability of winning a race by three persons A ,B , and C are 1/2, 1/4 and 1/4 , respectively. They run two races. The probability of A winning the second race when B , wins the first race is (A) 1/3 (B) 1/2 (C) 1/4 (D) 2/3

If P_1P_2P_3 are altitude of a triangle which circumscribes a circle of diameter 16/3 unit. then the least value of P_1+P_2+P_3 is

Four persons A, B, C and D throw an unbiased die, turn by turn, in succession till one gets an even number and win the game. What is the probability that A wins the game if A begins ?

5 players of equal strength play one each with each other. P(A)= probability that at least one player wins all matches he (they) play. P(B)= probability that at least one player losses all his (their) matches.

CENGAGE PUBLICATION-PROBABILITY-All Questions
  1. Fourteen numbered balls (1, 2, 3, …, 14) are divided in 3 groups rando...

    Text Solution

    |

  2. Let P(x) denote the probability of the occurrence of event xdot Plot a...

    Text Solution

    |

  3. Two players P(1)and P(2) are playing the final of a chess championship...

    Text Solution

    |

  4. Consider a game played by 10 people in which each flips a fair up coin...

    Text Solution

    |

  5. Eight players P1, P2, P3, ...........P8, play a knock out tournament....

    Text Solution

    |

  6. Two natural numbers x and y are chosen at random. What is the probabil...

    Text Solution

    |

  7. A die is thrown 4 times. Find the probability of getting at most tw...

    Text Solution

    |

  8. Two players A and B toss a die alternately he who first throws a six w...

    Text Solution

    |

  9. A bag contains 3 white, 3 black and 2 red balls. One by one, three ...

    Text Solution

    |

  10. If p is the probability that a man aged x will die in a year, then t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. If A and B each toss three coins. The probability that both get the sa...

    Text Solution

    |

  14. If n integers taken at random are multiplied together , then the p...

    Text Solution

    |

  15. A fair die is thrown 20 times. The probability that on the 10th thro...

    Text Solution

    |

  16. A is a set containing n different elements. A subset P of A is chosen....

    Text Solution

    |

  17. If a fair coin is tossed thrice find the probability that there are ...

    Text Solution

    |

  18. Consider f(x) =x^3+ax^2+bx+c Parameters a, b, c are chosen as the face...

    Text Solution

    |

  19. A dice is thrown once. Find the pobability of getting a prime number.

    Text Solution

    |

  20. In a knockout tournament, 2^(n) equally skilld players, S(1), S(2), …,...

    Text Solution

    |