1.

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»

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

brainly.in/question/5899169


Discussion

No Comment Found

Related InterviewSolutions