Home
Class 12
MATHS
A bag contains 3 white, 3 black and 2 re...

A bag contains 3 white, 3 black and 2 red balls. One by one, three balls are drawn without replacing them. Find the probability that the third ball is red.

A

`(2)/(56)`

B

`(3)/(56)`

C

`(1)/(56)`

D

`(14)/(56)`

Text Solution

Verified by Experts

The correct Answer is:
D
Thre possible cases are

`therefore` Required probability
`=(2)/(6)xx(6)/(7)xx(1)/(6)+(6)/(8)xx(2)/(7)xx(1)/(6)+(6)/(8)xx(5)/(7)xx(2)/(6)`
`=(14)/(56)`
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 08

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 OBJECTIVE TYPE|48 Videos

  • PRACTICE SET 10

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS)|50 Videos

Similar Questions

Explore conceptually related problems

A bag contains 3 White,3 black and 2 red balls.One by one three balls are drawn without replacement.Find the probability that third ballis red

A bag contains 3 White, 3Black and 2 Red balls. 3 balls are successively drawn without replacement. Find the probability that third ball is red.

A bag contains 7 white, 5 black and 4 red balls. Four balls are drawn without replacement find the probability that t least three balls are black.

A bag contains 4 white,7 black and 5 red balls.Three balls are drawn one after the other without replacement.Find the probability that the balls drawn are white, black and red respectively.

A bag contains 5 white, 4 black and 2 red balls. Balls are drawn one by one without replacement. The probability that the 5^("th") ball is a red ball, is

A bag contains 5 white,7 red and 3 black balls.If three balls are drawn one by one without replacement,find the probability that none is red.

An urn contains 4 white 6 black and 8 red balls. If 3 balls are drawn one by one without replacement, find the probability of getting all white balls.

. A bag contains n white, n black balls. Pair of balls are drawn without replacement until the bag is empty. Then Find the probability that each pair consists of one white and one black ball is

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 09-PAPER 2 (MATHEMATICS)
  1. The most general of theta satisfying tantheta+tan((3pi)/(4)+theta)=2 a...

    Text Solution

    |

  2. The value of int(1)^(2)(dx)/((x+1)sqrt(x^(2)-1)) is

    Text Solution

    |

  3. Focus of hyperbola is (+-3,0) and equation of tangent is 2x+y-4=0, fin...

    Text Solution

    |

  4. If the line px-qy=r intersects the coordinate axes at (a,0) and (0,b),...

    Text Solution

    |

  5. The lines (a+2b)x+(a-3b)y=a-b for different values of a and b pass thr...

    Text Solution

    |

  6. If P is a point (x ,y) on the line y=-3x such that P and the point (3,...

    Text Solution

    |

  7. If the fifth term of a G.P. is 2, then write the product of its 9 t...

    Text Solution

    |

  8. If f(x)=int(-1)^(x)|t|dt, then for any x ge0,f(x) is equal to

    Text Solution

    |

  9. Let f:R to R be defined by f(x)={{:(2k-2x",",ifxle-1),(2x+3",",iffxg...

    Text Solution

    |

  10. If the error committed in measuring the radius of a circle be 0.01%, f...

    Text Solution

    |

  11. Find ten equation of the plane passing through the point (0,7,-7) and ...

    Text Solution

    |

  12. If cos^(-1)p+cos^(-1)q+cos^(-1)r=3pi, then p^(2)+q^(2)+r^(2)+2pqr is e...

    Text Solution

    |

  13. If (dy)/(dx)+y=2e^(2x), then y is equal to

    Text Solution

    |

  14. A random variable X can attain only the value 1,2,3,4,5 with respectiv...

    Text Solution

    |

  15. If y=sqrt((1-x)/(1+x)), then (1-x^(2))(dy)/(dx)+y is equal to

    Text Solution

    |

  16. A bag contains 3 white, 3 black and 2 red balls. One by one, three ...

    Text Solution

    |

  17. If A=adjA, then |A| is equal to (A is invertible)

    Text Solution

    |

  18. int(8)^(15)(dx)/((x-3)sqrt(x+1)) is equal to

    Text Solution

    |

  19. If the straight lines (x-1)/k=(y-2)/2=(z-3)/3 and (x-2)/3=(y-3)/k=...

    Text Solution

    |

  20. The diection cosines of two lines are proportional to (2,3,-6) and (3,...

    Text Solution

    |