Home
Class 11
MATHS
In an entrance test that is graded on th...

In an entrance test that is graded on the basis of two examinations, the probability of a randomly chosen student passing the first examination is 0.8 and the probability of passing the second examination is 0.7 . The probability of passing at least one of them is 0.95. What is the probability of passing both ?

Text Solution

Verified by Experts

The correct Answer is:
0.55
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISEON CHAPTER 16|1 Videos
  • PROBABILITY

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISEON CHAPTER 17|1 Videos
  • PROBABILITY

    NCERT GUJARATI|Exercise EXERCISE 16.2|7 Videos
  • PRINCIPLE OF MATHEMATICAL INDUCTION

    NCERT GUJARATI|Exercise EXERCISE - 4.1|24 Videos
  • RELATIONS AND FUNCTIONS

    NCERT GUJARATI|Exercise Miscellaneous Exercise on Chapter 2|12 Videos

Similar Questions

Explore conceptually related problems

The probability that a student will pass the final examination in both English and Hind is 0.5 and the probability of passing neither is 0.1. If the probability of passing the English examination is 0.75 what is the probability of passing the Hindi examination ?

The probability that a student will pass his examination is 0.73, the probability of the student getting a compartment is 0.13, and the probability that the student will either pass or get compartment is 0.96.

It is given that in a group of 3 students, the probability of 2 students not having the same birthday is 0.992. What is the probability that the 2 students have the same birthday?

Two students Anil and Ashima appeared in an examination. The probability that Anil will qualify the examination is 0.05 and that Ashima will qualify the examination is 0.10. The probability that both will qualify the examination is 0.02. Find the probability that (a) Both Anil and Ashima will not qualify the examination. (b) Atleast one of them will not qualify the examination and (c) Only one of them will qualify the examination.

Two students Anil and Ashima appeared is an examination. The probability that Anil will qualify the examination is 0.05 and that Ashima will qualify the examination is 0.10. The probability qualify the examination is 0.02. Find the probability that (a) Bothe Anil and Ashima will not qualify the examination. (b) Atleast one of them will qualify the examination and (c) Only one of them will qualify the examination.

If the probabilities for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A or B fails is

Three students appear at an examination of mathematics. The probability of their success are 1/3,1/4,1/5 respectively. Find the probability of success of at least two.

The probability of a man hitting a target is 0.25. He shoots 7 times, then what is the probability of his hitting atleast twice ?

The sum of probabilities of two students getting distinction in their final examinations is 1.2.

The probability that certain electronic component fail, when first used is 0.10. If it does not fail immediately, then the probability that it lasts for one year is 0.99. What is the probability that a new component will last for one year?

NCERT GUJARATI-PROBABILITY-EXERCISE 16.3
  1. A coin is tossed twice, what is the probability that etleast one tail ...

    Text Solution

    |

  2. A die I thrown, find the probability of following events: (i) A prim...

    Text Solution

    |

  3. A card is selected from a pack of 52 cards. (a) How many points are ...

    Text Solution

    |

  4. A fair coin with 1 marked on one face and 6 on the other and a fair di...

    Text Solution

    |

  5. There are four men and six women on the city council. If one council m...

    Text Solution

    |

  6. A fair coin is tossed four times, and a person win Re 1 for each head ...

    Text Solution

    |

  7. Three coins are tossed once. Find the probability of getting (i) 3 h...

    Text Solution

    |

  8. If 2/11 Is the probability of an event, what is the probability of the...

    Text Solution

    |

  9. A letter is chosen at random from the word 'ASSASSINATION'. Find the p...

    Text Solution

    |

  10. In a lottery, a person chosen six different natural numbers at random ...

    Text Solution

    |

  11. Check whether the following probabilities P(A) and P(B) are consistent...

    Text Solution

    |

  12. Fill up the blanks in following table: P(A)" "P(B)" "P(A nn B" "P(A...

    Text Solution

    |

  13. Given P(A)=(3)/(5) and P(B)=(1)/(5) Find P(A or B), if A and B are mut...

    Text Solution

    |

  14. If E and F are events such that P(E)=(1)/(4),P(F)=(1)/(2) and P(E and ...

    Text Solution

    |

  15. Events E and F are such that P( not E or not F) =0.25, State whether E...

    Text Solution

    |

  16. A and B are events such that P(A)=0,42, P(B) =0.48 and P(A and B) =0.1...

    Text Solution

    |

  17. In Class XI of a school 40% of the students study Mathematics and 30% ...

    Text Solution

    |

  18. In an entrance test that is graded on the basis of two examinations, t...

    Text Solution

    |

  19. The probability that a student will pass the final examination in both...

    Text Solution

    |

  20. In a class of 60 students, 30 opted for NC C, 32 opted for NSS and 24 ...

    Text Solution

    |