Question

Padmavati 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?​

Answer 1

Answer:

0.475

Step-by-step explanation:

Padmavati speaks the truth 3 times out of 4 , therefore the probability of Padmavati telling the truth is 3/4= 0.75

Vareesha speaks the truth 7 times out of 10. Therefore the probability of Vareesha speaking the truth is 7/10= 0.7

The probability of Padmavati AND Vareesha jointly telling the truth is  

0.75 x 0.7 = 0.525

The probability of Padmavati AND Vareesha jointly telling a lie is  

(1 - 0.75) x (1 - 0.7) = 0.075

To find the white hat in the basket after both assert that it has been removed, it would imply that one of them told a lie.

Therefore the probability of finding the white hat in the basket is

( 1 - 0.525 ) = 0.475