Arithmetic Ability
 Probability

61 / 132

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 ?

View Answer

Correct choice: A

Explanation:

Let A be the event of A will tell truth. B be the event of B tell truth P(A)=2/3,P(Ac)=1−P(A)=1/3 P(B)=4/5,P(Bc)=1−P(B)=1/5 hen both agree then they say true or they say false together, that is A∩B or Ac∩Bc P(A∩B)+P(Ac∩Bc)=P(A)P(B)P(C)=2/3*4/5+1/3*1/5=3/5
61 / 132