Padmavati speaks the truth 3 times out of 4 and Vareesha speaks the tr

1.	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 basketcontaining hats of 6 different colours.What is the probability of finding the white hat in the basket?
Answer» 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

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 basketcontaining hats of 6 different colours.What is the probability of finding the white hat in the basket?

Answer»

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

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