Home
Class 12
MATHS
For the three events "A","B","andC","P"(...

For the three events `"A","B","andC","P"("e x a c t l yo n eo ft h ee v e n t sAorBo c c u r s")="P"("e x a c t l yo n eo ft h ee v e n t sBorCo c c u r s")="P"("e x a c t l yo n eo ft h ee v e n t sCandAo c c u r s")="p"` and`"P"("a l lt h et h r e ee v e n t so c c u rs i m u l t a n e o u s l y")="p"^2,"w h e r e"0<"p"<1//2.` Then, find the probability of occurrence of at least one of the three events `A ,B ,a n dCdot`

Promotional Banner

Topper's Solved these Questions

  • MEAN VALUE THEOREMS

    RD SHARMA ENGLISH|Exercise All Questions|134 Videos

  • RELATIONS

    RD SHARMA ENGLISH|Exercise All Questions|197 Videos

Similar Questions

Explore conceptually related problems

Prove the following identity: (s e c A\ s e c B+t a n AtanB)^2-(s e c A\ t a n B+t a n A s e c B)^2=1

In figure, lines l_1a n d\ l_2\ i nt e r s e c t \ at O , forming angles as shown in the figure. If x=45^@ , find the values of y ,\ z\ a n d\ u .

Find the volume in cubic metre (cu. m) of each of the cuboids whose dimensions are: l e n g t h\ =\ 12 m ,\ b r e a dt h=10 m ,\ h e igh t=4. 5 m l e n g t h\ =\ 4m ,\ b r e a dt h\ =\ 2. 5 m ,\ h e igh t\ =\ 50 c mdot l e n g t h\ =\ 10 m ,\ b r e a dt h\ =\ 25 d m ,\ h e igh t\ =\ 25 c mdot

The medians B E\ a n d\ C F of a triangle A B C intersect at G . Prove that area of triangle G B C=a r e a\ of\ q u a d r i l a t e r a l\ AFGE .

In the following figures R I S K\ a n d\ C L U E are parallelograms. Find the measure of xdot

In Delta A B C , prove that t a n A+t a n B+t a n Cgeq3sqrt(3),w h e r eA ,B ,C are acute angles.

In triangle A B C , if sinAcosB=1/4 and 3t a n A=t a n B ,t h e ncot^2A is equal to

A B C D is a cyclic quadrilateral in which B A\ a n d\ C D when produced meet in E\ a n d\ E A=E Ddot Prove that: (i) A D is p a r a l l e l t o B C (ii) E B=E C

If the p^(t h) term of an A.P. is q and the q^(t h) term is p , prove that its n^(t h)t e r mi s(p+q-n)dot

If the p^(t h) term of an A.P. is q and the q^(t h) term is p , prove that its n^(t h)t e r mi s(p+q-n)dot

RD SHARMA ENGLISH-PROBABILITY-All Questions
  1. The probability that a person will get an electric contact is 2/5 and ...

    Text Solution

    |

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

    Text Solution

    |

  3. For the three events "A","B","andC","P"("e x a c t l yo n eo ft h ee v...

    Text Solution

    |

  4. The probabilities that a student passes in Mathematics,Physics and Che...

    Text Solution

    |

  5. Let there be a bag containing 5 white and 4 red balls. Two are drawn ...

    Text Solution

    |

  6. A die is thrown twice and the sum of the numbers appearing is observed...

    Text Solution

    |

  7. Determine P (E|F)in :Two coins are tossed once, where(i) E: tail appe...

    Text Solution

    |

  8. A couple has two children. Find the probability that Both the children...

    Text Solution

    |

  9. A die is thrown twice and the sum of the numbers appearing is observed...

    Text Solution

    |

  10. A die is thrown three times events A and B are defined as below: A= Ge...

    Text Solution

    |

  11. A black and a red dice are rolled. (a)   Find the conditional proba...

    Text Solution

    |

  12. Consider the experiment of throwing a die. if a multiple of 3 comes ...

    Text Solution

    |

  13. In a school there are 1000 students, out of which 430 are girls. It...

    Text Solution

    |

  14. An instructor has a test bank consisting of 300 easy True/False que...

    Text Solution

    |

  15. Given that A\ a n d\ B are two events such that P :(A)=0. 6 ,\ P(B)=0....

    Text Solution

    |

  16. If P (A) =6/(11), P(B) =5/(11)and P(AuuB)=7/(11), find(i) P(AnnB) (ii)...

    Text Solution

    |

  17. Ten cards numbered1 through 10 are placed in a box, mixed up thoroughl...

    Text Solution

    |

  18. Assume that each child born is equally likely to be a boy or a girl. I...

    Text Solution

    |

  19. Given that the two number appearing on throwing two dice are different...

    Text Solution

    |

  20. A die is thrown three times, find the probability that 4 appears on th...

    Text Solution

    |