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Question

There is a box which contains 4 red, 3 blue and 1 black identical balls. For each red ball withdrawn (without replacement), you have to put 1 blue and 1 black ball in the bag. For each blue ball withdrawn (without replacement), you have to put 2 blue and 1 red ball. If the first ball drawn is red, what will be the contents of the box just before withdrawing the second ball?


Your Answer
A
2 Red, 3 Blue & 1 Black ball
Correct Answer
B
3 Red, 4 Blue & 2 Black balls
Your Answer
C
4 Red, 3 Blue & 2 Black balls
Your Answer
D
3 Red, 2 Blue & 1 Black balls.

Solution

The correct option is B 3 Red, 4 Blue & 2 Black balls

Box:4 Red3 Blue1 Black

Step 1:  Take out 1 red ball, remaining red balls = 4 - 1 = 3

Step 1:  Add 1 blue, total blue balls = 3 + 1 = 4

Step 1:  Add 1 Black, total black balls = 1+ 1 = 2

Box: 3Red4Blue2Black    
The contents of the box after the 1st ball is withdrawn is 3 Red, 4 Blue & 2 Black balls.

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