Home
Class 11
MATHS
In a class of 60 students. 30 opted for ...

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.

Text Solution

Verified by Experts

The correct Answer is:
(i) `19/30` (ii) `11/30` (iii) `2/15`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

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

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

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

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

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

Similar Questions

Explore conceptually related problems

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

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 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, 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.

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 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

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.

There are 40 students in Class X of a school of whom 25 are girls and 15 are boys. The class teacher has to select one student as a class representative. She writes the name of each student on separate cards, the cards being identical. Then she puts cards in a box and stirs them thoroughly. She then draws one card from the box. What is the probability that the name written on the card is the name of (i) a girl? (ii) a boy?

In a class 140 students numbered 1 to 140, all even numbered students opted Mathematics course, those whose number is divisible by 3 opted Physics course and those whose number is divisible by 5 opted Chemistry course. Then the number of students who did not opt for any of the three courses is (a) 38 (b) 1 (c)42 (d) 102

NCERT BANGLISH-PROBABILITY-EXERCISE 16.3
  1. A coin is tossed twice, what is the probability that atleast 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 coin are tossed once. Find the probability of getting (i) 3 he...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Check whether the following probabilities P(A) and P(B) consistently d...

    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 mutual...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. A and B are events such that P(A) = 0.42, P(B) = 0.48 and P(A and B)...

    Text Solution

    |

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

    Text Solution

    |

  18. In an entrance test that is graded of the basis of two examination, th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |