A box contains 12 marbles of three different colours green, yellow and blue – 4 each. If you were to close your eyes and pick them at random, how many marbles must you take out to be sure that there are at least two of one colour among the marbles picked out.
Answers
Answer:
When 3 marbles are picked up it may be the maximum case that all are of different colors.
So, if another one marble is picked up then surely it will match with one existing marble's color.
so ans will be 4
hope it helps you !!
Answer:
The 4th pick will guarantee at least two same colored marbles.
Step-by-step explanation:
Number of green marbles = 4
Number of yellow marbles = 4
Number of blue marbles = 4
Total number of marbles = 12
We need at least two marbles of the same color
Therefore, the following cases are possible:
Case I : Marbles of the 1st and the 2nd pick are of the same color.
Case II : Marbles of the 1st and the 3rd pick are of the same color.
Case III : Marbles of the 2nd and the 3rd pick are of the same color.
Case IV : Marbles of the 1st and the 4th pick are of the same color.
Case V : Marbles of the 2nd and the 4th pick are of the same color.
Case VI : Marbles of the 3rd and the 4th pick are of the same color.
Therefore, the 4th pick will guarantee at least two same colored marbles.