If E and F are the complementary even...

If ` E and F `are the complementary events of events `E and F ,` respectively, and if P(F) `in` [0,1]

P(E|F) + `P(barE|F) = 1`

P(E|F) + `P(E|barF) = 1`

`P(barE|F) + P(E|barF) = 1`

`P(E|barF) + P(barE|barF) = 1`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

PROBABILITY
AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - B Objective Type Questions (One option is correct))|64 Videos
PROBABILITY
AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - C Objective Type Questions (More than one options are correct))|21 Videos
PROBABILITY
AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|42 Videos
PRINCIPLE OF MATHEMATICAL
AAKASH INSTITUTE ENGLISH|Exercise Section-D:(Assertion-Reason Type Questions)|11 Videos
RELATIONS AND FUNCTIONS
AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos

Similar Questions

Explore conceptually related problems

(E) and (F) , respectively, are :

If E and F are independent events, then write P (E uu F)

Prove that if E and F are independent events, then so are the events E and F.

If E and F are independent events such that 0 < P(E) < 1 and 0 < P(F) < 1, then (a) E and F are mutually exclusive (b) E and F^c (the complement of the event F ) are independent (c) E^c and F^c are independent (d) P(E//F)+P(E^c//F)=1

If E' denote the complement of an event E , what is the value of P(E')+P( E )?

If E and F are independent events such that 0 lt P(E) lt 1 and 0 lt P(F) lt 1 , then

If E and F are two independent events and P(E)=1/3,P(F)=1/4, then find P(EuuF) .

Let E^c denote the complement of an event E. Let E,F,G be pairwise independent events with P(G) gt 0 and P(E nn F nn G)=0 Then P(E^c nn F^c nn G) equals (A) P(E^c)+P(F^c) (B) P(E^c)-P(F^c) (C) P(E^c)-P(F) (D) P(E)-P(F^c)

If F events are mutually exclusive, then write P(cap F) .

If E and F are independent events then which of the following are also independent (i) barE " and " barF (ii) E and barF (iii) barF and F (iv) None of these

AAKASH INSTITUTE ENGLISH-PROBABILITY-ASSIGNMENT (SECTION - A Competition Level Questions)

If two events A and B are such that P(A')=0.3,P(B)=0.4and P(AnnB')=0....
Text Solution
|
Ina certain town, 40% of the people have brown hair, 25% have brown ...
Text Solution
|
If E and F are the complementary events of events E and F , respect...
Text Solution
|
As man is known to speak truth 3 out of 4 times. He throws a die and ...
Text Solution
|
If A and B are two events such that P(A)>0a n d P(B)!=1, t h e nP( b...
Text Solution
|
If A and B are two events such that AsubeB, then P(B|A) is equal to
Text Solution
|
A family has two children. If one of them is boy, then the probability...
Text Solution
|
A letter is known to have come either from LONDON or CLIFTON. On the ...
Text Solution
|
For two events A and B, if P(A)P((A)/(B))=(1)/(4) and P((B)/(A))=(1)/(...
Text Solution
|
A bag A contains 2 white and 3 red balls another bag B contains 4 whit...
Text Solution
|
In a single throw of two dice what is the probability of obtaining a n...
Text Solution
|
Three coins are tossed. If one of them shows tail, then find the pr...
Text Solution
|
For k=1,2,3 the box Bk contains k red balls and (k+1) white balls. Let...
Text Solution
|
Two cards are drawn one by one from a pack of cards. The probability o...
Text Solution
|
8 coins are tossed simultaneously. The probability of getting at least...
Text Solution
|
If three dice are thrown together, then the probability of getting 5 o...
Text Solution
|
In binomial probability distribution, mean is 3 and standard deviation...
Text Solution
|
The probability of a bomb hitting a bridge is 1/2 and two direct hits...
Text Solution
|
In simultaneous toss of 4 coins , what is the probability of getting e...
Text Solution
|
A die is tossed twice. Getting a number greater than 4 is considered a...
Text Solution
|