Math, asked by divyadarshini10, 3 months ago

There are two buckets containing same type of balls of different colours as below:  Bucket A – Red 10%, White 60% and black 30% Bucket B Red 10%, White 40% and black 50%. If a white ball is drawn at random, what is the probability that it is from the bucket A?​

Answers

Answered by amitnrw
2

Given : There are two buckets containing same type of balls of different colors as below:

Bucket A – Red 10%, White 60% and black 30%

Bucket B – Red 10%, White 40% and black 50%

To Find : The probability of selecting bucket A  

The sample spaces for the above problem is

(c) If E is the event bucket 2 selected and F is the event white ball drawn. Then the value of P (F/E) is

If F is the event for white ball drawn then P(F) is

If white ball is drawn then the probability that it is drawn from 1st bucket is

Solution:

The probability of selecting bucket A  = 1/2  as there are 2 buckets

The sample spaces for Selecting bucket is  or ( 1 , 2)

The sample spaces for  selecting ball

 ( 1 , R) , (1 , B) , (1 , W) , ( 2, R) , (2 , B) , (2 , W)

) If E is the event bucket 2 selected and F is the event white ball drawn. Then the value of P (F/E) is = 40/100 = 0.4

F is the event for white ball drawn then P(F)  = (1/2) (60/100) + (1/2)(40/100)

= 0.5

 white ball is drawn then the probability that it is drawn from 1st bucket is

White ball from bucket A = 0.6

White ball from bucket B = 0.4

=  (0.6)/(0.6 + 0.4)

= 0.6

= 3/5

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