Evenats A and B are mutually exclusive. Which of the

Daniell Phillips

Daniell Phillips

Answered question

2021-12-19

Evenats A and B are mutually exclusive. Which of the following statements is also true?
a. P(AB)=P(A)+P(B)
b. P(AB)=P(A)+P(B)
c. A and B are also independent
d. P(AB)=P(A)P(B)

Answer & Explanation

Jim Hunt

Jim Hunt

Beginner2021-12-20Added 45 answers

We have provided A and B cannot both occur at the same time.
Events A and B are mutually exclusive if they do not share a territory.
That implies
P(AB)=0 
We understand the probability addition rule.
P(AB)=P(A)+P(B)P(AB) 
We have provided The two events A and B are incompatible. P(AB)=0 
P(AB)=P(A)+P(B)0 
so we get. 
P(AB)=P(A)+P(B) 
Correct choice is ( B )

Dawn Neal

Dawn Neal

Beginner2021-12-21Added 35 answers

b. P(A U B) = P(A) + P(B).
RizerMix

RizerMix

Expert2021-12-29Added 656 answers

We know P(AB)=P(A)+P(B)P(AB),
Since A and B,Mutually Exclusive P(AB)=0,
So P(AB)=P(A)+P(B)
Option d is correct option.

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