Question

A bag contains 5 balls and it is not known how many of them are white. Two balls are drawn at random from the bag and they are note to be white. What is the chance the all the balls in the bag are white?​

Answer 1

Answer:

Assume that the bag contains 5 balls of unknown colours. Let N denote the number of white balls in the bag. We assume apriori that P(N = n) =1/6, n =0,1,2,3,4,5.

Therefore P( N = 5 given 2 balls drawn are white)

=P(N =5 , 2 balls drawn are white)/ P( 2 balls drawn are white)

= P( N = 5) P( 2 balls drawn are white/ N = 5)/ [P(N = 2, 2 balls drawn are white) + P(N = 3, 2 balls drawn are white) + P(N = 4, 2 balls drawn are white) + P(N = 5, 2 balls drawn are white)]

= (1/6 )/ [1/6(2C2 + 3C2 + 4C2 + 5C2)]

= 1/20.

Answer 2

Answer:

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ғᴏʟʟᴏᴡ ᴍᴇ

Step-by-step explanation:

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