Sawaal
6
Q:

The probabilities that A and B will tell the truth are 2 / 3 and 4 / 5 respectively . What is the probability that they agree with each other ?

A) 3/5 B) 1/3
C) 2/5 D) 3/4

Answer:   A) 3/5



Explanation:

Let A be the event of A will tell truth. B be the event of B tell truth

 

 P(A)=23,P(Ac)=1-P(A)=13

 

 

 

P(B)=45,P(Bc)=1-P(B)=15 

 

When both agree then they say true or they say false together, that is 

 

 A∩B or Ac∩Bc

 

 

 

Also these events will be mutually exclusive :

 

 P(A∩B)+P(Ac∩Bc)=P(A)P(B)P(C)=23*45+13*15=35

Subject: Probability
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