50 Red Marbles And 50 Blue Marble Puzzle

A marble will be selected at random from a jar selected at random.

50 red marbles and 50 blue marble puzzle. 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. A ball is selected randomly from any of the box and the task is to maximize the probability of selecting a red ball by reshuffling marbles in both the boxes. Given that the number of red and blue marbles are the same you would tend to think that the odds are 50 50.

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. How do you divide the marbles among the jars as to maximize the probability of choosing a blue marble. When picking you ll first randomly pick a jar and then randomly pick a marble out of that jar.

Give two boxes b1 and b2 one have 50 red marbles and other have 50 blue marbles. This proposal is pretty intuitive i think but here is a proof. Put 1 red marble in jar a and put the remaining 99 marbles in jar b. Seems tricky at first right.

Let p r be the probability of picking a red marble. You would try different combinations such as 25 of each colored marble in a jar or putting all red marbles in one jar and all the blue in the other. Now calculating the probability for red marble pick in the first chance goes this way. 1 2 1 1 1 2 considering the first jar in which there is only 1 marble and that is red.

Red and blue marbles puzzle you have given 50 red marbles 50 blue marbles and two empty jars you have to put all the 100 marbles into the jars such that when you randomly pick one marble from any of the jar probability of it s being a red color marble is maximum. You have 50 blue marbles 50 red marbles and two jars to put them in. We can put 1 red marble in one jar and rest all the 99 marbles those include 50 blue coloured and 49 red coloured in other jar.