Question

A speaks lies in 1/4 cases and b speak truth in 4/5 cases.What is the probabilty of cases in which both a&b contradict each other in stating a fact

Answer 1

Answer:

7/20

Step-by-step explanation:

There can be two cases where A & B Contradict

Case1  A speak true and B speak lies

Case2 A Speak lies but B Speak True

A Lies = 1/4  so A true = 1- 1/4 = 3/4

B True = 4/5 so B Lies = 1- 4/5 = 1/5

Case 1 Probability = A true * B Lies

= (3/4)(1/5)

= 3/20

Case 2 Probability = A Lies * B True

=(1/4)(4/5)

= 1/5

Total probability = 3/20 + 1/5

= (3 + 4)/20

= 7/20