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Then 1 marble will be withdrawn from that jar at random.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