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