Home
Class 11
MATHS
From a group of 2 boy and 3 girls, two c...

From a group of 2 boy and 3 girls, two children are selected at random. Describe the events. A = both selected children are girls. B= the selected group consists of one boy and one girl. C= at least one boy is selected. Which pairs (s) of events is (are) mutually exclusive?

Text Solution

AI Generated Solution

To solve the problem, we will first define the events clearly and then determine which pairs of events are mutually exclusive. ### Step 1: Define the Events 1. **Event A**: Both selected children are girls. 2. **Event B**: The selected group consists of one boy and one girl. 3. **Event C**: At least one boy is selected. ### Step 2: Identify Possible Outcomes ...
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS

    RD SHARMA ENGLISH|Exercise All Questions|291 Videos
  • QUADRATIC EQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|85 Videos

Similar Questions

Explore conceptually related problems

From a group of 2 boys and 3 girls, two children are selected. Find the sample space associated to this random experiment.

How many teams of 3 boys and 3 girls can be selected from 5 boys and 4 girld?

A class consists of 10 boys and 8 girls. Three students are selected at random. What is the probability that the selected group has (i) all boys? (ii) all girls? (iii) at least one girl?

In how many ways can 3 boys and 3 girls can be selected from 5 boys and 3 girls?

In a class of 50 students, 20 are boys and rest are girls. A student is selected at random. Find the probability of selecting a boy.

From a group of 2 men and 3 women , two persons are selected . Describe the sample space of the experiment , if E is the event in which one man and one women are selected , then which are the cases favourable to E?

A class has 12 boys and 4 girls. If three students are selected at random from the class, what is the probability that all will be boys?

In a group of students , there are 3 boys and 3 girls . Four students are to be selected at random from the group . Find the probability that either 3 boys and 1 girl or 3 girls and 1 boy are selected .

A class has 20 girls and 16 boys. One student is selected at random. Find the probability that the student is a girl.

A class consists of 20 boys 10 girls. In how many ways can one boy and one girl be selected to represent the class at a function?

RD SHARMA ENGLISH-PROBABILITY-All Questions
  1. A box contains 1 white and 3 identical black balls. Two balls are draw...

    Text Solution

    |

  2. An experiment consists of rolling die until a 2 appears. (i)How many ...

    Text Solution

    |

  3. From a group of 2 boy and 3 girls, two children are selected at random...

    Text Solution

    |

  4. From a group of 2 boys and 3 girls, two children are selected. Find th...

    Text Solution

    |

  5. Consider the experiment in which a coin is tossed repeatedly until ...

    Text Solution

    |

  6. A die is thrown twice. Each time the number appearing on it is reco...

    Text Solution

    |

  7. A card is picked up from a deck of 52 playing cards. What is the sampl...

    Text Solution

    |

  8. In a large metropolitan area, the probabilities are 0.87,0.36,0.30 tha...

    Text Solution

    |

  9. If A and B are mutually exclusive events such that P(A)=0. 35 and P(B)...

    Text Solution

    |

  10. If A and B are mutually exclusive events such that P(A)=0.20 and P(B)=...

    Text Solution

    |

  11. A team of medical students doing internship have to assist during surg...

    Text Solution

    |

  12. Suppose an integer from 1 through 1000 is chosen at random, find the ...

    Text Solution

    |

  13. Figure shows three events A ,B ,C and also the probabilities of the va...

    Text Solution

    |

  14. Let A ,B ,C be three events. If the probability of occurring exactly ...

    Text Solution

    |

  15. For the three events A, B and C, P(exactly one of the events A or B oc...

    Text Solution

    |

  16. A box contains 6 red, 4 white and 5 black balls. A person draws 4 ball...

    Text Solution

    |

  17. A bag contains tickets numbered 1 to 30. Three tickets are drawn at ...

    Text Solution

    |

  18. A bag contains 50 tickets numbered 1, 2, 3, .., 50 of which five are ...

    Text Solution

    |

  19. Find the probability that the birth days of six different persons will...

    Text Solution

    |

  20. Twelve balls are distributed among three boxes, find the probability ...

    Text Solution

    |