Home
Class 12
MATHS
The probability of India winning a test ...

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.

Text Solution

Verified by Experts

Required probability is
`P(barA_(1)nnA_(2)nnA_(3))+P(A_(1)nnbarA_(2)nnA_(3))`
`=1/2xx1/2xx1/2+1/2xx1/2xx1/2=1/8+1/8=2/8=1/4`
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

The odds against two events are 2:7 and 7:5 respectivel. If the events are independent, find the probability that at least one of them will occur.

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

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.

In a cricket match, a batswoman hits a boundary 6 times out of 30 balls she plays. Find the probability that she did not hit a boundary.

India play two matches each with West Indies and Australia. In any match the probabilities of India getting 0,1 and 2 points are 0.45, 0.05 and 0.50 respectively. Assuming that the outcomes are independent, the probability of India getting at least 7 points is 0. 0875 b. 1//16 c. 0. 1125 d. none of these

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.

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?

Suppose the probability for A to win a game against B is 0.4. If A has an option of playing either a “best of 3 games'' or a “best of 5 games match against B, which option should be chosen so that the probability of his winning the match is higher? (No game ends in a draw.)

If the events E_1, E_2,………….E_n are independent and such that P(E_i^C) = i/(i+1) , i=1, 2,……n, then find the probability that at least one of the n events occur.

Football teams T_(1) "and" T_(2) have to play two games against each other. It is assumed that the outcomes of the two games are independent. The probabillities of T_(1) winning, drawing and losing a game against T_(2) "are" 1/2, 1/6 "and" 1/3 respectively. Each team gets 3 points for a win 1 point for a draw and 0 point for a loss in a game. Let X and Y denote the total points scored by teams T_(1) "and" T_(2) respectively after two games. P(X>Y) is equal to

CENGAGE PUBLICATION-PROBABILITY-All Questions
  1. There are eight girls among whom two are sisters, all of them are to s...

    Text Solution

    |

  2. In a single throw of two dice what is the probability of obtaining a...

    Text Solution

    |

  3. The probability of India winning a test match against West Indies is 1...

    Text Solution

    |

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

    Text Solution

    |

  5. A binary number is made up to 8 digits. Suppose that the probability...

    Text Solution

    |

  6. The probability that Krishna will be alive 10 years hence is 7/15 and ...

    Text Solution

    |

  7. A bag contains 5 white and 3 black balls. Four balls are successively ...

    Text Solution

    |

  8. In a class of 125 students 70 passed in Mathematics, 55 in statistic...

    Text Solution

    |

  9. The probability that at least one of A and B occurs is 0.6. If A and B...

    Text Solution

    |

  10. Given two events A and B . If odds against A are as 2:1 and those in...

    Text Solution

    |

  11. If A and B are two events, then which of the following dies not repr...

    Text Solution

    |

  12. Number 1,  2, 3, ...100 are written down on each of the cards A, B,...

    Text Solution

    |

  13. An unbiased die is such that probability of number n appearing is ...

    Text Solution

    |

  14. An unbiased dice, with faces numbered 1,2,3,4,5,6, is thrown n times...

    Text Solution

    |

  15. 2^n players of equal strength are playing a knock out tournament. I...

    Text Solution

    |

  16. If Aa n dB are two events such that P(A)=1/2a n dP(B)=2/3. Then show...

    Text Solution

    |

  17. The probabilities of three events A ,B ,a n d \ C are P(A)=0. 6 ,P(B)=...

    Text Solution

    |

  18. The probability that at least one of the events Aa n dB occurs is 0.6...

    Text Solution

    |

  19. A man and a woman appear in an interview for two vacancies in the sa...

    Text Solution

    |

  20. A pair of unbiased dice are rolled together till a sum of “either 5 or...

    Text Solution

    |