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Question:

Answer:
a) Minimum number of balls to be drawn to be sure that at least three blue balls are drawn is computed as:
= All red balls are drawn + 3 blue balls
= 10 + 3 = 13
This is because in the worst case, it is possible that the first 10 balls drawn are red. Therefore we need to pick a minimum of 13 balls to be sure to have 3 blue balls.
b) The worst case possible here is when in the first 4 balls, 2 balls drawn are red and 2 are blue, then the third ball has to be of colour blue or red, thus making it 3 for that colour.
Therefore 5 balls is the minimum number of balls that should be drawn here to have 3 balls of the same colour.