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Then 1 marble will be withdrawn from that jar at random.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