Probabiltiy concept

#1

Initially, you are given 2 boxes, 50 red balls and 50 blue balls.
You have to distribute all the balls in the two boxes. After distributing the balls, a box will be randomly selected and randomly a ball will be picked from that selected box. You will distribute the balls in such a way to maximize the chance of picking red ball. Maximum probability of picking the red ball you can get from this scheme is?

#2

@anuranjan8319918906
In 1st bag—> Put 1 red ball
In 2nd bag—> Put the remaining 50 blue+49 red balls.

In this way
P(Red ball)= 1/2*1 + 1/2*49/99
= 0.5 + 0.24747
= 0.7475

#3

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