Home
Class 12
MATHS
If E and F are independent events such t...

If E and F are independent events such that `0ltP(E)lt1 and 0ltP(F)lt1,` then

A

E and F are mutually exclusive

B

E and `overline(F)` (complement of the event F) are independent

C

`overline(E) and overline(F)` are independent

D

`P((E)/(F))+P((overline(E))/(F))=1`

Text Solution

Verified by Experts

The correct Answer is:
(b,c,d)
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|26 Videos
  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|10 Videos
  • PROBABILITY

    ARIHANT MATHS|Exercise Probability Exercise 1: Single Option Single Correct Type Question|1 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos

Similar Questions

Explore conceptually related problems

If A and B are independent events such that 0 lt P (A) lt 1 and 0 lt P (B) lt 1 then which of the followingis not correct ?

If E_1 and E_2 are independent events such that P(E_1)=1/3 and P(E_2)=1/6 find P(E_1^c cap E_2^c) .

If E and F are independent events, P (E) = 1/2 and P (F) = 1/3 , then P (E nn F) is :

If E and F are independent events, P(E) = 1/20 and P(F) = 1/3 then P (E cap F) is :

Let E_1 and E_2 be two independent events such that P(E_1)=rho_1 and P(E_2)=rho_2 . Describe in words, the events probabilities are (1-rho_2)rho_2 .

Let E_1 and E_2 be two independent events such that P(E_1)=rho_1 and P(E_2)=rho_2 . Describe in words, the events probabilities are rho_1rho_2 .

If E and F are independent events, P(E)=1/(2)andP(F)=1/(3) then P(EnnF) is :

If E and F are any two events such that P(E) + P(F) - P(E and F) = P(E) Then (A) P(F/E) = 1 , (B) P(E/F) = 1 , (C) P(F/E) = 0 , (D) P(E/F) = 0.

If E and F are events such that P(E) =1/4, P(F) =1/2 and P(E and F) =1/8, find (i) P(E or F), (ii) P(not E and not F).

If E_1 and E_2 are two independent events associated with an experiment, then show that E_1^c and E_2^c are alos independent.