Question

padmavathi speaks the truth 3 times out of 4 and vareesha speaks the truth 7 times out of 10. both of them assert that a white hat has been removed from a basket containining hats of 6 different colours. what is the probability of finding the white hat in the busket

Answer 1

Step-by-step explanation:

Given  Padmavathi speaks the truth 3 times out of 4 and vareesha speaks the truth 7 times out of 10. both of them assert that a white hat has been removed from a basket containing hats of 6 different colours. what is the probability of finding the white hat in the basket

• P(A) (truth) = 3/4
• P(A) (lies) = 1/4
• P(B) (truth) = 7/10
• P(B) (lies) = 3/10
• Now P(M) = 1/6 x 3/4 x 7/10  
•                = 21 / 240
• Suppose C is an event
• So P( C ) = 1/4 x 1/5
•              = 1/20
• P(D) = 3/10 x 1/5
•        = 3/50
• P(N) = 1/20 x 3/50 x 5/6
•         = 1/400
• So P(W) = P(M) / P(M) + P(N)
•              = 21 / 240 / 21 / 240 + 1/400
•            = 7/80 / 7/80 + 1/400
•          = 7/80 / 35 + 1 / 400
•           = 35 / 36

Reference link will be

https://brainly.in/question/5899169