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You are given 50 white marbles, 50 black marbles and two jars. You need to put 100 marbles in any of these two jars. The jars will then be shaken and you will be asked to pick one marbles from either jar. How would you distribute the marbles in two are to maximize the possibility of picking a white marble blind folded ?
All hundred in one
Black in one and till 99 in the other.
50 white in one and 50 black in the other.
White in one and till 99 in the other.
25 white and 25 black in each.
All hundred in one
Black in one and till 99 in the other.
50 white in one and 50 black in the other.
White in one and till 99 in the other.
25 white and 25 black in each.
Solution
Probability of getting white is less than or equal 1/2 in each of the given options except White in one and till 99 in the other.
Where the probability is
= [(1/2) × 1] + [1/2 × (49/99)] which is greater than 1/2.