Each jar can hold 100 marbles.
If you have 2 jars with 1000 blue marbles.
For jar 1 we have that.
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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.
Jar 2 20 blue and 980 white.
Probability of selecting any one jar is 1 2.
When picking you ll first randomly pick a jar and then randomly pick a marble out of that jar.
In other words you get to take 2 measurements or comparisons here.
One of the jars will be chosen at random.
10 green and 990 white.
You have two jars 50 red marbles and 50 blue marbles.
So the ratio of blue to red in one jar is the inverse of the other.
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 have 2 jars 10 red marbles 40 blue marbles.
One of the jars is chosen at random and then one marble will be chosen from that jar at random.
We calculate the probability of obtaining a red a blue and a green marbles.
Jar 3 500 green and 500 white.
We have 2 jars and not 1.
You must place all 100 marbles in the jars.
You have two jars 50 red marbles and 50 blue marbles.
Fifty of the marbles are red and fifty are blue.
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.
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.
How would you maximize the chance of drawing a red marble.
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.
All 100 marbles should be placed in the jars.
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You can arrange the marbles however you like but each marble must be in.
What is the probability of doing so.
Then 1 marble will be withdrawn from that jar at random.
You have three jars containing marbles as follows.
I don t agree with your solution.
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.
Additionally the other jar will have 1000 x blue marbles in it.
We conclude that each jars have 1000 marbles.
You have 50 red marbles 50 blue marbles and 2 jars.
3 you are allowed to use set the scale twice in total.
You have 3 jars containing marbles as follows.
Now we want to place these 100 marbles in 2 jars to maximize the probability of red marble pick.
Interview candidate on jan 2 2013.
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.
For jar 2 we have that.
You can decide how many and what marbles to be placed in each of the jars.
