A bag contains some marbles, each of which is one of four colors (red, white, blue, and green). At least one of the marbles is red. The composition of the bag is such that if we take four marbles out at random (without replacement), each of the following is equally likely:

(1) one marble of each color is chosen,

(2) one white, one blue, and two reds are chosen,

(3) one blue and three reds are chosen,

(4) four reds are chosen.

What is the smallest possible number of marbles in the bag?

Question

A bag contains some marbles, each of which is one of four colors (red, white, blue, and green). At least one of the marbles is red. The composition of the bag is such that if we take four marbles out at random (without replacement), each of the following is equally likely: 

(1) one marble of each color is chosen, 

(2) one white, one blue, and two reds are chosen, 

(3) one blue and three reds are chosen, 

(4) four reds are chosen. 

What is the smallest possible number of marbles in the bag?

loser66 · Answer

still need help??

loser66 · Answer

I may get ban for answering this question. hehehe. but I don't care. This question is interesting. I want you to know the answer also.

anonymous · Answer

Wait there still is no answer, could I please have an answer?