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- There are two boxes, one containing 10 red balls and the other containing 10 green balls.
Question 1:
There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is: A. 1/2
B. 14/19
Feedback Probability of getting a red ball can be maximised by taking only one red ball in one box and transferring all other red balls into other boxes.
Now probability of choosing each box is (1/2).
Probability of choosing red box = (1/2) × 1 + (1/2) × (9/19)
= (1/2) × (28/19) = 14/19
Now probability of choosing each box is (1/2).
Probability of choosing red box = (1/2) × 1 + (1/2) × (9/19)
= (1/2) × (28/19) = 14/19
C. 37/38
D. 3/4
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