UKMT Senior Challenge-XI

Probability Level 3

A bag contains m m blue and n n yellow marbles. One marble is selected at random from the bag and its colour is noted. It is then returned to the bag along with k k other marbles of the same colour. A second marble is now selected at random from the bag. What is the probability that the second marble is blue?

This problem is not original.This problem is part of this set .

m / ( m + n + k ) m/(m+n+k) ( m + n ) / ( m + n + k ) (m+n)/(m+n+k) m / ( m + n ) m/(m+n) n / ( m + n ) n/(m+n) ( m + k ) / ( m + n + k ) (m+k)/(m+n+k)

A Former Brilliant Member by A Former Brilliant Member

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