Home
Class 14
MATHS
The probability that A can solve a probl...

The probability that A can solve a problem is `2/3` and the probability that B can solve the same problem is `3/5` . Find the probability that atleast one of A and B will be able to solve the problem.

A

`12/15`

B

`13/15`

C

`19/45`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT SSC|Exercise EXERCISE (LEVEL-1)|25 Videos
  • PROBABILITY

    ARIHANT SSC|Exercise EXERCISE (LEVEL-2)|19 Videos
  • PROBABILITY

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE -(20.3)|22 Videos
  • PRACTICE SET

    ARIHANT SSC|Exercise PRACTICE SET-5|50 Videos
  • PROBLEM BASED ON AGES

    ARIHANT SSC|Exercise FASK TRACK PRACTICE|31 Videos

Similar Questions

Explore conceptually related problems

Given the probability that A can solve a problem is 2/3, and the probability that B can solve the same problem is 3/5, find the probability that (i) at least one of A and B will solve the problem (ii) None of the two will solve the problem.

Given the probability that A can solve a problem is 2/3 and the probability that B can solve the same problem is 3/5. Find the probability that none of the two will be able to solve the problem.

If it is given that the probability that A can solve the same problem is (3)/(5). The probability that B can solve the same problem is (2)/(3). The probability that at least one of A and B can solve a problem is

The probability that A can solve a problem is 2//3 and B can solve it is 3//4 . If both attempt the problem, what is the probability that the problem gets solved ?

The probability that A can solve a problem is 4/5 and B can solve it is 2/3 .If both attempt the problem what is the probability that exactly one of the problem gets solved ?

A and B try to solve the problem independently. The probability that A solves the problem is (1)/(2) and that B solves the problem is (1)/(3) . Find the probability that : (a) Both of them solve the problem (b) The problem is solved.

For an initial screening of an admission test, a candidate is given fifty problems to solve. If the probability that the candidate can solve any proglem is (4)/(5) , then the probability that he is unable to solve less than two problem is

ARIHANT SSC-PROBABILITY-INTRODUCTORY EXERCISE -(20.4)
  1. If 35% of a number is 175, then 175 is what percent of that number?

    Text Solution

    |

  2. An agent gets a commission of 2.5% on the sales of cloth. If on a cert...

    Text Solution

    |

  3. The probability that A can solve a problem is 2/3 and the probability ...

    Text Solution

    |

  4. A person's salary has increased from rs. 14400 to rs. 16200. What is t...

    Text Solution

    |

  5. The probabilites that a student will receive an A,B ,C or D grade...

    Text Solution

    |

  6. The probabilites that a student will receive an A,B ,C or D grade...

    Text Solution

    |

  7. A's salary is 20% less than B's salary. Then B's salary is more than A...

    Text Solution

    |

  8. The price of an article of rs100 is icreased by 20% the again its pric...

    Text Solution

    |

  9. If 50% of (x-y) = 30% of (x+y), then what percent of x is y?

    Text Solution

    |

  10. ajay and his wife kajal , the probability of ajay 's section is...

    Text Solution

    |

  11. ajay and his wife kajal , the probability of ajay 's section is...

    Text Solution

    |

  12. ajay and his wife kajal , the probability of ajay 's section is...

    Text Solution

    |

  13. A speaks truth in 60% and Bin 80% of the cases. In what percentage of ...

    Text Solution

    |

  14. One fifth of a number is 62. What will 73% of that number be?

    Text Solution

    |

  15. Two third of three fourths of one fifth of a number is 15. What is 30%...

    Text Solution

    |

  16. Three critics review a book odds in favour of the book are 5 :...

    Text Solution

    |

  17. 3/4th of 2/3rd of 1/5th of a number is 249.6. What is 50% of that numb...

    Text Solution

    |

  18. Ishan spent rs. 35645 on buying a bike, rs. 24355 on television and t...

    Text Solution

    |

  19. Sonal spent rs. 45760 on the interior decoration for her home, rs. 278...

    Text Solution

    |

  20. Rajesh spent rs. 44620 on diwali shopping, rs. 32764 on buying compute...

    Text Solution

    |