Home
Class 12
MATHS
If E(1) denots the envent sof coming sum...

If `E_(1)` denots the envent sof coming sum 6 in throwing two dice and `E_(2)` be the event of coming 2 in any one of two, then `P(E_(2)//E_(1))` is

A

`1//5`

B

`4//5`

C

`3//5`

D

`2//5`

Text Solution

Verified by Experts

The correct Answer is:
D
`E_(1)` can occur as `{(1,5),(5,1),(2,4),(4,2),(3,3)}`
`E_(2)` as `{(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(6,5),(5,2),(4,2),(3,2),(1,2)}`
`thereforeP(E_(2)//E_(1))` = Probability of `E_(2)` when `E_(1)` has occurred `=2//5`
Promotional Banner

Topper's Solved these Questions

  • MHTCET 2010

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Mathematics|50 Videos

  • MHTCET 2012

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MATHEMATICS|50 Videos

Similar Questions

Explore conceptually related problems

The letters of the word PRABABILITY are written down at random in a row. Let E_1 denotes the event that two Is are together and E_2 denotes the event that B ' s are together, then P(E_1)=P(E_2=3/(11) (b) P(E_1nnE_2)=2/(55) P(E_1uuE_2)=(18)/(55) (d) P((E_1)/(E_2))=1/5

If P (E) denotes the probability of an event E, then:

There are two die A and B both having six faces. Die A has three faces marked with 1, two faces marked with 2, and one face marked with 3. Die B has one face marked with 1, two faces marked with 2, and three faces marked with 3. Both dices are thrown randomly once. If E be the event of getting sum of the numbers appearing on top faces equal to x and let P(E) be the probability of event E, then P(E) is minimum when x equals to

There are two die A and B both having six faces. Die A has three faces marked with 1 , two faces marked with 2 , and one face marked with 3 . Die B has one face marked with 1 , two faces marked with 2 , and three faces marked with 3 . Both dices are thrown randomly once. If E be the event of getting sum of the numbers appearing on top faces equal to x and let P(E) be the probability of event E , then P(E) is maximum when x equal to

In each of the following experimets, write the sample space (S), the number of sample point [n(S)], events E_(1) and E_(2) using set form, n(E_(1))and n(E_(2)): In each of the following events two coins are tossed simuntaneously. (i) E_(1) is the event of not getting a head. (ii) E_(2) is the event of getting at the most one tail.

Let two fari six-faced dice A and B be thrown simltaneously. If E_(1) is the event that die A shows up four, E_(2) is the event that die B shows up two and E_(3) is the event that the sum of numbers on both dice isodd, then which of the following statement is NOT True ?

If e_(1) and e_(2) are the eccentricities of two conics with e_(1)^(2) + e_(2)^(2) = 3 , then the conics are

If P(E) denotes the probability of an event E, then E is called certain event if :

An event 'E' is defined as getting both heads or both tails in a throw of two coins, then find P(E) …………….

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MHTCET 2011-METHEMATICS
  1. If from each of the three boxes containing 3 white and 1 black, 2 whit...

    Text Solution

    |

  2. If X follows the binomial distribution with parameters n=6 and p and 9...

    Text Solution

    |

  3. If E(1) denots the envent sof coming sum 6 in throwing two dice and E(...

    Text Solution

    |

  4. Let f(x) = {{:({1+|sin x|}^(a//|sin x|)", " pi/6 lt x lt 0),(" ...

    Text Solution

    |

  5. If f(x)=e^(x)g(x),g(0)=2,g'(0)=1, then f'(0) is

    Text Solution

    |

  6. If a, b, c and d are positive then lim(x to oo)(1+(1)/(a+bx))^(x+dx) ...

    Text Solution

    |

  7. Let f(x+y)=f(x)*f(y)AAx , y in R,suppose that f(3)=3 and f^(prime)(0...

    Text Solution

    |

  8. If G(x)=-sqrt(25-x^(2)),then lim(xto1) (G(x)-G(t))/(x-1) is

    Text Solution

    |

  9. At the point x = 1 , then function f(x) = {{:(x^(3) - 1, 1lt x lt o...

    Text Solution

    |

  10. If x^(p) y^(q) = (x + y)^((p + q)) " then " (dy)/(dx)= ?

    Text Solution

    |

  11. If x = 2 cos t - cos 2t , y = 2 sin t - sin 2t, then the value of ...

    Text Solution

    |

  12. y=logtan(x/2)+sin^(-1)(cosx), then dy/dx is

    Text Solution

    |

  13. The minimum value of (1-x+x^2)/(1+x+x^2) for all real values ​​of x is...

    Text Solution

    |

  14. If x+y=k is normal to y^2=12 x , then k is 3 (b) 9 (c) -9 (d) -3

    Text Solution

    |

  15. A particle moves along a straight line according to the law s=16-2t+3t...

    Text Solution

    |

  16. Find: int[sqrt(cotx)+sqrt(tan x)]dx

    Text Solution

    |

  17. int(x^(2))/((x sinx+cosx)^(2))dx is equal to

    Text Solution

    |

  18. Evaluate int(0)^(pi)(x dx)/(1+cos alpha sin x),where 0lt alpha lt pi.

    Text Solution

    |

  19. int(pi//2)^(pi//2)(cosx)/(1+e^(x))dx is equal to

    Text Solution

    |

  20. int(0)^(pi//2)(1)/((1+tanx))dx=?

    Text Solution

    |