Home
Class 12
MATHS
Ina certain town, 40% of the people have...

Ina certain town, 40% of the people have brown hair, 25% have brown eyes, and 15% have both brown hair and brown eyes. If a person selected at random from the town has brown hair, the probability that he also has brown eyes is `1//5` b. `3//8` c. `1//3` d. `2//3`

A

`1//5`

B

`3//8`

C

`1//3`

D

`2//3`

Text Solution

Verified by Experts

The correct Answer is:
B

We have, `P(A)=40/100,P(B)=25/100and P(AnnB)=15/100`
So, `P((B)/(A))=(P(AnnB))/(P(A))=(15//100)/(40//100)=3/8`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY II

    CENGAGE ENGLISH|Exercise MULTIPLE CHOICE ANSWER TYPE|17 Videos
  • PROBABILITY II

    CENGAGE ENGLISH|Exercise LINKED COMPREHENSION TYPE|43 Videos
  • PROBABILITY II

    CENGAGE ENGLISH|Exercise CONCEPT APPCICATION EXERCISE 14.6|5 Videos
  • PROBABILITY I

    CENGAGE ENGLISH|Exercise JEE Advanced|7 Videos
  • PROGRESSION AND SERIES

    CENGAGE ENGLISH|Exercise ARCHIVES (MATRIX MATCH TYPE )|1 Videos

Similar Questions

Explore conceptually related problems

Thirty percent of the 20 people in the math club have blonde hair. If 3 people are selecfted at random from the club what is the probability that none has blonde hair?

In a certain population, 10% of the people are rich, 5% are famous, and 3% are rich and famous. Then find the probability that a person picked at random from the population is either famous or rich but not both.

In a certain population, 10% of the people are rich, 5% are famous, and 3% are rich and famous. Then find the probability that a person picked at random from the population is either famous or rich but not both.

A bag contains 20 coloured balls . 8 are red , 6 are blue ,3 are green ,2 are white and 1 is brown. A ball is chosen at random from the bag . What is the probability that ball chosen is : brown

A bag contains 20 coloured balls . 8 are red , 6 are blue ,3 are green ,2 are white and 1 is brown. A ball is chosen at random from the bag . What is the probability that ball chosen is : not brown

A bag contains 20 coloured balls . 8 are red , 6 are blue ,3 are green ,2 are white and 1 is brown. A ball is chosen at random from the bag . What is the probability that ball chosen is : blue

A room has 3 lamps . From a collection of 10 light bulbs of which 6 are no good , a person selects 3 at random and puts them in a socket . What is the probability , that he will have light ?

A bag contains 20 coloured balls . 8 are red , 6 are blue ,3 are green ,2 are white and 1 is brown. A ball is chosen at random from the bag . What is the probability that ball chosen is : green or white or brown ?

A bag contains 20 coloured balls . 8 are red , 6 are blue ,3 are green ,2 are white and 1 is brown. A ball is chosen at random from the bag . What is the probability that ball chosen is : blue or red

A bag contains 20 coloured balls . 8 are red , 6 are blue ,3 are green ,2 are white and 1 is brown. A ball is chosen at random from the bag . What is the probability that ball chosen is : not blue

CENGAGE ENGLISH-PROBABILITY II-EXERCISE
  1. Let A and B be two events such that P(AnnB')=0.20,P(A'nnB)=0.15,P(A'nn...

    Text Solution

    |

  2. A father has 3 children with at least one boy. The probability that he...

    Text Solution

    |

  3. Ina certain town, 40% of the people have brown hair, 25% have brown ...

    Text Solution

    |

  4. Let Aa n dB are events of an experiment and P(A)=1//4, P(AuuB)=1//2, t...

    Text Solution

    |

  5. The probability that an automobile will be stolen and found within one...

    Text Solution

    |

  6. A pair of numbers is picked up randomly (without replacement) from the...

    Text Solution

    |

  7. All the jacks, queens, kings, and aces of a regular 52 cards deck are ...

    Text Solution

    |

  8. One ticket is selected at random from 100 tickets numbered 00,01,02, …...

    Text Solution

    |

  9. Two dice are rolled one after the other.The probability that the numbe...

    Text Solution

    |

  10. Cards are drawn one-by-one at random from a well-shuffled pack of 52 ...

    Text Solution

    |

  11. A bag contains n white and n red balls. Pairs of balls are drawn witho...

    Text Solution

    |

  12. A six-faced dice is so biased that it is twice as likely to show an ...

    Text Solution

    |

  13. A student appears for tests I, II and III. The student is successful i...

    Text Solution

    |

  14. A problem in mathematics is given to three students A ,B ,C and their ...

    Text Solution

    |

  15. Let A,B, C be three mutually independent events. Consider the two stat...

    Text Solution

    |

  16. Three ships A ,B ,a n dC sail from England to India. If the ratio of t...

    Text Solution

    |

  17. Cards are drawn one by one without replacement from a pack of 52 cards...

    Text Solution

    |

  18. Five horses are in a race. Mr. A selects two of the horses at random ...

    Text Solution

    |

  19. Let A and B be two events such that p( bar (AuuB))=1/6, p(AnnB)=1/4 a...

    Text Solution

    |

  20. A class consists of 80 students, 25 of them are girls and 55 are boys....

    Text Solution

    |