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?

Options
- 25 white and 25 black in each.
- White in one and till 99 in the other.
- 50 white in one and 50 black in the other.
- All hundred in one.

CORRECT ANSWER : White in one and till 99 in the other.

Discussion Board
Apti

Picking the options:
Option I; ½ × 25/50 + ½ × 25/50 = ½ .
Option II; ½ × 1 + ½ × 49/99 = > ½ .
Option III; ½ × 50/50 + ½ × 0/50 = ½ .
Option IV; ½ × 50/100 + ½ × 0 = ¼ .
Hence, the correct answer is option B.

Swarup Saha 12-3-2021 10:50 AM

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