Home
Class 12
MATHS
An electrical system has open-closed swi...

An electrical system has open-closed switches `S_1, S_2` and `S_3` as shown in fig. The switches operate independently of one another and the current will flow from `AtoB` either if `S_1` is closed or if both `S_2` and `S_3` are closed. If `P(S_1)=P(S_2)=P(S_3)=1//2,` then find the probability that the circuit will work.

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

Find potential difference before switch S is closed?

Find potential difference after switch, S is closed?

In the circuit shown in figure switch s is closed at time t = 0. Find the current through different wires and charge stored on the capacitor at any time t.

If S_1, S_2, S_3 are the sum of first n natural numbers, their squares and their cubes, respectively , show that 9 S_(2)^(2) = S_(3) (1+ 8S_1)

Let S_n denote the sum of first n terms of an A.P. If S_(2n)=3S_n , then find the ratio S_(3n)//S_ndot

If S_1, S_2 and S_3 be respectively the sum of n, 2n and 3n terms of a G.P .Prove that S_1(S_3-S_2)=(S_2-S_1)^2 .

Let the sum of n, 2n, 3n terms of an A.P. be S_1, S_2 and S_3 , respectively, show that S_3 =3(S_2-S_1)

The sum of n term of three A.P are S_1,S_2, and S_3 . The frist term of each is 1 and common diffrence are 1,2,3 repectively .Prove that S_1+S_3 =2 S_2.

If the set of natural numbers is partitioned into subsets S_1={1},S_2={2,3},S_3={4,5,6} and so on then find the sum of the terms in S_(50)dot

CENGAGE PUBLICATION-PROBABILITY-All Questions
  1. A rifleman is firing at a distance target and hence has only 10% ch...

    Text Solution

    |

  2. One of 10 keys open the door. If we try the keys one after another, ...

    Text Solution

    |

  3. An electrical system has open-closed switches S1, S2 and S3 as shown i...

    Text Solution

    |

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

    Text Solution

    |

  5. The unbiased dice is tossed until a number greater than 4 appear. W...

    Text Solution

    |

  6. X speaks truth in 60% and Y in 50% of the cases. Find the probabili...

    Text Solution

    |

  7. In a bag there are 6 balls of which 3 are white and 3 are black. They ...

    Text Solution

    |

  8. The odds against a certain event are 5 to 2, and the odds in favour of...

    Text Solution

    |

  9. In a certain population, 10% of the people are rich, 5% are famous, an...

    Text Solution

    |

  10. A coin is tossed three times. Event A: two heads appear Event B: last ...

    Text Solution

    |

  11. Events A and B are such that P(A) =(1)/(2), P(B) =(7)/(12) and "P(not ...

    Text Solution

    |

  12. From a pack of 52 cards, two are drawn one by one without replacement....

    Text Solution

    |

  13. A coin is tossed and a dice is rolled. Find the probability that th...

    Text Solution

    |

  14. The probability of happeining an event A in one trial is 0.4. Find the...

    Text Solution

    |

  15. A, B, C in order draws a card from a pack of cards, replacing them aft...

    Text Solution

    |

  16. The probability of hitting a target by three marksmen are 1/2, 1/3 a...

    Text Solution

    |

  17. Three persons work independently on a problem. If the respective pr...

    Text Solution

    |

  18. If P(AuuB)=3//4 and P( barA )=2//3 , then find the value of P( barA nn...

    Text Solution

    |

  19. A box contains 6 nails and 10 nuts. Half of the nails and half of t...

    Text Solution

    |

  20. A fair coin is tossed repeatedly. If tail appears on first four tos...

    Text Solution

    |