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Then 1 marble will be withdrawn from that jar at random.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