Home
Class 12
MATHS
In a class of 60 students, 40 opted for ...

In a class of 60 students, 40 opted for NCC, 30 opted for NSS and 20 opted for both NCC and NSS. If one of these students is selected at random, then the probability that the student selected has opted neither for NCC nor for NSS is

A

`(2)/(3)`

B

`(1)/(6)`

C

`(1)/(3)`

D

`(5)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 1|5 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 2|7 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise chapter -3|1 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|541 Videos

  • LIMITS

    CENGAGE PUBLICATION|Exercise Comprehension Type|4 Videos

Similar Questions

Explore conceptually related problems

In a class of 60 students. 30 opted for NCC, 32 opted for NSS and 24 opted for both NCC and NSS. If one of these students is selected at random, find the probability that (i) The student opted for NCC or NSS. (ii) The student has opted neither NCC nor NSS. (iii) The students has opted NSS but not NCC.

In a hostel, 60% of the students read Hindi newspaper, 40% read English newspaper and 20% read both Hindi and English newspapers. A student is selected at random. (a) Find the probability that she reads neither Hindi nor English newspapers. (b) If she reads Hindi newspaper, find the probability that she reads English newspaper (c) If she reads English newspaper, find the probability that she reads Hindi newspaper.

In Class XI of a school 40 % of the students study Mathematies and 30% study Biology.10% of the class study both mathematics and biology. If a student is selected at random from the class, find the probability that he will be studying Mathemetics or Biology.

In a class of 125 students 70 passed in Mathematics, 55 in statistics, and 30 in both. Then find the probability that a student selected at random from the class has passed in only one subject.

In a class of 10 student, probability of exactly i students passing an examination is directly proportional to i^(2). Then answer the following questions: If a students selected at random is found to have passed the examination, then the probability that he was the only student who has passed the examination is

In a class, 5% of the boys and 10% of the girls have an IQ more than 150. In the class 60% of the students are boys and rest girls. If a student is selected at random and found to have an IQ of more than 150, find the probability that the student is a boy.

In a class, 5% of the boys and 10% of the girls have an IQ more than 150. In the class 60% of the students are boys and rest girls. If a student is selected at random and found to have an IQ of more that 150, find the probability that the student is a boy.

40% of the students in a class are girls. If 60% and 70% fo the boys and the girls respectively of the class pass a certain test, what is the probability that a randomly selected student from the class will have passed the test?

A class consists of 30 boys and 20 girls of which half the boys, and half the girls have blue eyes. Find the probability that a student chosen at random is a boy or has blue eyes.

A class consists of 80 students, 25 of them are girls and 55 are boys. If 10 of them are rich and the remaining are poor and also 20 of them are intelligent, then the probability of selecting an intelligent rich girls is a. 5//128 b. 25//128 c. 5//512 d. none of these

CENGAGE PUBLICATION-JEE 2019-MCQ
  1. Two integers are selected at random from the set {1, 2, …, 11}. Given ...

    Text Solution

    |

  2. Let S={1,2,...,20} A subset B of S is said to be "nice", if the sum of...

    Text Solution

    |

  3. In a class of 60 students, 40 opted for NCC, 30 opted for NSS and 20 o...

    Text Solution

    |

  4. In a game, a man wins Rs 100 if he gets 5 or 6 on a throw of a fair di...

    Text Solution

    |

  5. If the Boolean expression (p oplusq)wedge (~p Theta q) is equivalent t...

    Text Solution

    |

  6. The logical statement [~(~pvvq)vv(p^^r)]^^(~q^^r) is equivalent to

    Text Solution

    |

  7. Given three statements P: 5 is a prime number, Q:7 is a factor of 192,...

    Text Solution

    |

  8. If q is false and (p^^q) harr r is also true then which of the followi...

    Text Solution

    |

  9. The Boolean expression ~(pvvq)vv(~p^^q) is equivalent to (1) ~p (2) p ...

    Text Solution

    |

  10. (~pvv~q) is logically equivalent to

    Text Solution

    |

  11. Average height & variance of 5 students in a class is 150cm and 18cm^2...

    Text Solution

    |

  12. A data consists of n observations x(1), x(2), ..., x(n). If Sigma(i=1)...

    Text Solution

    |

  13. The mean of five observations is 5 and their variance is 9.20. If thr...

    Text Solution

    |

  14. The mean and standart deviation of five observations x1,x2,x3,x4,x5 an...

    Text Solution

    |

  15. The outcome of each of 30 items was observed , 10 items gave an outcom...

    Text Solution

    |

  16. Contrapositive of the statement ''If two numbers are not equal, then t...

    Text Solution

    |

  17. There are 30 white balls and 10 red balls in bag. 16 balls are drawn w...

    Text Solution

    |

  18. If the sum of the deviations of 50 observations from 30 is 50, then th...

    Text Solution

    |

  19. Mean and variance of five observations are 4 and 5.2 respectively. If ...

    Text Solution

    |

  20. The system of linear equations x + y + z = 2 2x + 3y + 2z = 5 2...

    Text Solution

    |