Home
Class 12
MATHS
A candidate take three tests in successi...

A candidate take three tests in succession and the probability of passing the first test is p. The probability of passing ech succeeding test p or `p/2` according as he passes or fails in the preceding one. The candidate is selected if he passes at least two tests. The probability that the candidate is selected is

A

`p^(2) (2 - p)`

B

p (2-p)

C

` P + p^(2) + p^(3)`

D

`p^(2) (1 - p)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    SIA PUBLICATION|Exercise PROBLEMS|52 Videos

  • MOCK TEST 1

    SIA PUBLICATION|Exercise PHYSICS|12 Videos

Similar Questions

Explore conceptually related problems

In the intermediate examination a candidate has to pass in each of his 6 papers . The number of ways in within he can fail is

In an entrance test there are multiple choice questions. There are four possible answers to each equation, of which one is correct. The probability that a student knows the answer to a question is 9//10 . If he gets the correct answer to a question, then the probability that the was guessing is

In a test, a student either guesses or copies or knows the answer to a multiple choice question with four choices having one correct answer. The probability that he guesses the answer is 1/3 and the probability that he copies it is 1/12 . the probability that his answer is correct given that he copied it is 1/6 the probability that he knew the answer, given that he has correctly answered it, is

One hundred students appeared for two examinations 60 passed in first, 50 passed the second and 30 passed both. The probability that a student selected at random has failed in both examinations is

In a test a candidate may have answered a question in 3 ways. The question is a multiple choice question with 4 choices one of which is the correct answer. He might have guessed the answer for which the probability is 1/3. He might have copied the answer for which the probability is 1/6. He might have known the answer. If he copied the answer the probability that his answer is correct is 1/8. Find the probability that he knew the answer given that he correctly answerd it.

Mr. A is called for 3 interviews . There are 5 condidate at the first interview , 4 at the second and 6 at the third. If the selection of each candidate is equally likely then the probability that A will be selected for atleast one post is

SIA PUBLICATION-MEASURES OF DISPERSION AND PROBABILITY -PROBLEMS
  1. The probability that an event does not happen in one trial is 0.8 The ...

    Text Solution

    |

  2. If the mean and veriance of a binomial veriate X are 8 and 4 respectiv...

    Text Solution

    |

  3. A candidate take three tests in succession and the probability of pass...

    Text Solution

    |

  4. A six-faced unbiased die is thrown twice and the sum of the numbers ap...

    Text Solution

    |

  5. If A,B,C are mutually exclusive and exhaustive events of a random expe...

    Text Solution

    |

  6. If x(1), x(2),…..x(n) are n observations such that Sigmax(i)^(2)=400 a...

    Text Solution

    |

  7. The mean of four observations is 3. If the sum of the squares of these...

    Text Solution

    |

  8. Two numbers are chosen at random from (1,2,3,4,5,6,7,8) at a time. The...

    Text Solution

    |

  9. Two fair dice are rolled. The probability of the sum of digits on thei...

    Text Solution

    |

  10. A bag contains 2n + 1 coins . It is known that n of these coins have a...

    Text Solution

    |

  11. The random variable takes the values 1,2,3,…….m. If P(X=n)=(1)/(m) to ...

    Text Solution

    |

  12. If X is a Poisson variate and P(X=1)=2P(X=2) them P(X=3)=

    Text Solution

    |

  13. If X is a random Poisson variate such that alpha =P(X=1)=P(X=2) then P...

    Text Solution

    |

  14. X follows a binomial distribution with parameters n and p where 0 lt p...

    Text Solution

    |

  15. In an entrance test there are multiple choice questions , then the pro...

    Text Solution

    |

  16. There are four machines and it is known that exactly two of them are f...

    Text Solution

    |

  17. A fair coin is tossed 100 times . The probability of getting tails an ...

    Text Solution

    |

  18. A class has fifteen boys and five girls. Suppose three students are se...

    Text Solution

    |

  19. Seven white balls and three black balls are randomly arranged in a ro...

    Text Solution

    |

  20. Let A and B be events in a sample space S such that P(A)=0.5 , P(B)=0...

    Text Solution

    |