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Then 1 marble will be withdrawn from that jar at random.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