Home
Class 12
MATHS
A scientist has to make a decision on ea...

A scientist has to make a decision on each of the two independent events `I` and `II`. Suppose the probability of error in making decision on event `I` is `0.02` and that on event `II` is `0.05`. Find the probability that the scientist will make the correct decision on (i) both events (ii) only one event

Promotional Banner

Topper's Solved these Questions

  • MEAN VALUE THEOREMS

    RD SHARMA ENGLISH|Exercise All Questions|134 Videos

  • RELATIONS

    RD SHARMA ENGLISH|Exercise All Questions|197 Videos

Similar Questions

Explore conceptually related problems

In two independent events the probability of happening one event is 2/7 and probability of happening of second event is 1/5 . Find the probability of happening of both events.

The probability of an occurrence of event A is 0.7 and that of the occurrence of event B is 0.3 and the probability of occurrence of both is 0.4.

(i) Write the probability of a sure event.

The probability of happening an event A in one trial is 0.4. Find the probability that the event A happens at least one in three independent trials.

The probability of happening an event A in one trial is 0.4. Find the probability that the event A happens at least one in three independent trials.

The probability of happening of an event is 0.6 for one experiment. In three such experiments, find the probability of happening the event at least one time.

If A and B are two independent events, then the probability that only one of A and B occur is

The probability of happening of an event A is 0.5 and that of B is 0.3. If A and B are mutually exclusive events, then the probability of neither A nor B is…..

If A and B are two independent events, then the probability of occurrence of at least one of A and B is given by 1-P'(A)P'(B)

If A and B are two independent events, then the probability of occurrence of at least one of A and B is given by 1" - "P (A') P (B')

RD SHARMA ENGLISH-PROBABILITY-All Questions
  1. A class consists of 80 students, 25 of them are girls and 55 are boys....

    Text Solution

    |

  2. Two dice are thrown. Find the probability of getting an odd number on ...

    Text Solution

    |

  3. A scientist has to make a decision on each of the two independent even...

    Text Solution

    |

  4. In two successive throws of a pair of dice, determine the probability ...

    Text Solution

    |

  5. A, B and C shot to hit a target. If A hits the target 4 times in 5 ...

    Text Solution

    |

  6. A company has estimated that the probabilities of success fro there pr...

    Text Solution

    |

  7. A can solve 90% of the problems given in a book and B can solve 70%. ...

    Text Solution

    |

  8. A bag contains 5 white, 7 red and 8 black balls. Four balls are drawn ...

    Text Solution

    |

  9. If two switches S1a n dS2 have respectively 90% and 80% chances of wor...

    Text Solution

    |

  10. The machine operates if all of its three components function. The prob...

    Text Solution

    |

  11. An anti aircraft gun take four shots at an enemy plane moving away fro...

    Text Solution

    |

  12. An article manufactured by a company consists of two parts X and Y. In...

    Text Solution

    |

  13. To test the quality of electric bulbs produced in as factory, two bulb...

    Text Solution

    |

  14. A bag contains n white and n red balls. Pairs of balls are drawn witho...

    Text Solution

    |

  15. If Aa n dB are two events such that P(A)=0. 5 ,P(B)=0. 6a n dP(AuuB)=0...

    Text Solution

    |

  16. If P(notA)=0. 7 ,P(B)=0.7 a n dP(B//A)=0. 5 , then find P(A//B)a n dP...

    Text Solution

    |

  17. If P" "(A)" "=" "0. 8 , P(B)" "=" "0. 5 and P(B|A)" "=" "0. 4 , find ...

    Text Solution

    |

  18. A fair dice is rolled. Consider the following events: A={1,2,5},B={2,3...

    Text Solution

    |

  19. Three events A , B and C have probabilities 2/5,1/3a n d1/2 respecivel...

    Text Solution

    |

  20. A die is rolled twice and the sum of the numbers appearing on them is ...

    Text Solution

    |