Home
Class 12
MATHS
Two balls are drawn at random with repla...

Two balls are drawn at random with replacement from a box containing 10 black and 8 red balls. Find the probability that
(i) both balls are red.
(ii) first ball is black and second is red.
(iii) one of them is black and other is red.

Text Solution

Verified by Experts

The correct Answer is:
(i) `(16)/(81)`, (ii) `(20)/(81)`, (iii) `(40)/(81)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NCERT GUJARATI|Exercise EXERCISE 3.3|14 Videos
  • PROBABILITY

    NCERT GUJARATI|Exercise EXERCISE 3.4|16 Videos
  • PROBABILITY

    NCERT GUJARATI|Exercise EXERCISE 3.1|17 Videos
  • MATRICES

    NCERT GUJARATI|Exercise Miscellaneous Exercise on Chapter 3|15 Videos
  • RELATIONS AND FUNCTIONS

    NCERT GUJARATI|Exercise MISCLELLANEOUS EXERCISE ON CHAPTER 1|19 Videos

Similar Questions

Explore conceptually related problems

Two cards are drawn at random and without replacement from a pack of 52 playing cards. Find the probability that both the cards are black.

An urn contains 7 white, 5 black and 3 read balls. Two balls are drawn at random. Find the probability that. (i) Both the balls are red. (ii) One balls is red and other is black. One ball is white.

A bag contains 8 red and 5 white balls. Three balls are drawn at random. Find the Probability that All the three balls are red

A card is drawn at random from pack of 52 playing cards. Find the probability of getting (i) a face card (ii) red card.

A bag contains 5 black and 6 red balls. Determine the number of ways in which 2 black and 3 red balls can be selected.

There are 6 red and 8 green balls in a bag. 5 balls are drawn at random and placed in a red box. The remaining balls are placed in a green box. What is the probability that the number of red balls in the green box plus the number of green balls in the red box is not a prime number?

A box contains 8 red, 3 white and 9 black balls. If three balls are drawn at random, find the probability that: (i) All three balls are of different colour, (ii) One ball is red and two balls are white. (iii) All three balls are black.

A bag contains 8 red and 5 white balls. Three balls are drawn at random. Find the Probability that All the three balls are white

A box contains 5 blue and 4 white balls. A person select two balls randomly from it. The probability that both the balls are of same colour is .....

NCERT GUJARATI-PROBABILITY-EXERCISE 3.2
  1. If P(A) =(3)/(5) and P (B)=(1)/(5) find P(A cap B) if A and B are inde...

    Text Solution

    |

  2. Two cards are drawn at random and without replacement from a pack of 5...

    Text Solution

    |

  3. A box of oranges is inspected by examining three randomly selected ora...

    Text Solution

    |

  4. A fair coin and an unbiased die are tossed. Let A be the event head ap...

    Text Solution

    |

  5. A dice marked 1, 2, 3 in red colour and 4, 5, 6 in green colour is tos...

    Text Solution

    |

  6. Let E and F be events with P(E)=(3)/(5), P(F)=(3)/(10) and P (E cap ...

    Text Solution

    |

  7. Given that the events A and B are such that P(A) = (1)/(2), P(A cup B...

    Text Solution

    |

  8. Let A and B be independent events with P(A) = 0.3 and P(B) = 0.4. Find...

    Text Solution

    |

  9. If A and B are two events such that P(A) =(1)/(4), P(B) = (1)/(2) an...

    Text Solution

    |

  10. Events A and B are such that P(A) =(1)/(2), P(B) =(7)/(12) and "P(not ...

    Text Solution

    |

  11. Given two independent events A and B such that P(A) = 0.3, Find (i...

    Text Solution

    |

  12. A die is tossed thrice. Find the probability of getting an odd number ...

    Text Solution

    |

  13. Two balls are drawn at random with replacement from a box containing 1...

    Text Solution

    |

  14. Probability of solving specific problem independently by A and B are (...

    Text Solution

    |

  15. One card is drawn at random from a well shuffled deck of 52 cards. In ...

    Text Solution

    |

  16. In a hostel, 60% of the students read Hindi newspaper, 40% read Englis...

    Text Solution

    |

  17. Choose the correct answer The probability of obtaining an even prime...

    Text Solution

    |

  18. Choose the correct answer Two events A and B will be independent, if

    Text Solution

    |