You can decide how many and what marbles to be placed in each of the jars.
If you have 2 jars with 1000 blue marbles.
When picking you ll first randomly pick a jar and then randomly pick a marble out of that jar.
I don t agree with your solution.
Jar 2 20 blue and 980 white.
4 each bucket has enough room for multiple marbles.
You have two jars 50 red marbles and 50 blue marbles.
You have 2 jars 10 red marbles 40 blue marbles.
You have three jars containing marbles as follows.
Now we want to place these 100 marbles in 2 jars to maximize the probability of red marble pick.
Probability of selecting any one jar is 1 2.
If you still don t believe it go buy 2000 marbles and try it yourself.
You must place all 100 marbles in the jars.
What is the probability of doing so.
Then 1 marble will be withdrawn from that jar at random.
As long as you have the same number of marbles in each side the heavy marble has just enough weight to tip the scale to its side.
Seems tricky at first right.
You have two jars 50 red marbles and 50 blue marbles.
Fifty of the marbles are red and fifty are blue.
All 100 marbles should be placed in the jars.
10 green and 990 white.
For jar 1 we have that.
In other words you get to take 2 measurements or comparisons here.
You have 50 red marbles 50 blue marbles and 2 jars.
Total 100 marbles out of which 50 are red and 50 are blue coloured.
One of the jars is chosen at random and then one marble will be chosen from that jar at random.
How would you maximize the chance of drawing a red marble.
900 blue and 100 white jar 3.
You have two jars and hundred marbles.
600 red and 400 white jar 2.
When picking you ll first randomly pick a jar and then randomly pick a marble out of that jar.
Additionally the other jar will have 1000 x blue marbles in it.
3 you are allowed to use set the scale twice in total.
When picking you ll first randomly pick a jar and then randomly pick a marble out of that jar you can arrange the marbles however you like but each marble must be in a jar.
One or more comments have been removed.
You need to place all the marbles into the jars such that when you blindly pick one marble out of one jar you maximize the chances that it will be red.
For jar 2 we have that.
Each jar can hold 100 marbles.
You have 3 jars containing marbles as follows.
We calculate the probability of obtaining a red a blue and a green marbles.
So the ratio of blue to red in one jar is the inverse of the other.
We conclude that each jars have 1000 marbles.
Jar 1 300 red and 700 white.
You need to place all the marbles into the jars such that when you blindly pick one marble out of one jar you maximize the chances that it will be red.
Interview candidate on jan 2 2013.
We have 2 jars and not 1.
Jar 3 500 green and 500 white.
One of the jars will be chosen at random.