50 Red Marbles And 50 Blue Marbles

For example say we put all the red marbles into jar a and all the blue ones into jar b.

50 red marbles and 50 blue marbles. 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. You would still end up with a chance of 50. The p red is 0 50 you must pick jar a p 0 50 and then get a red marble p 1 0. 1 2 1 1 1 2 considering the first jar in which there is only 1 marble and that is red.

1 2 chance we pick jar a 50 50 chance we pick a red marble 1 2 chance we pick jar b 0 50 chance we pick a red marble. P r 1 2 1 1 1 2 49 99 0 747474. Then our chances for picking a red one are. Next most people try something like 25 red and 25 blue in jar a and 25 red and 25 blue in jar b.

Hence the maximum probability of choosing a red ball is 0 747474. 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. Given that the number of red and blue marbles are the same you would tend to think that the odds are 50 50. Therefore let us take 49 red marbles from b1 to b2 then there will be 1 red ball in b1 and 99 balls in b2 out of which 49 are red and 50 of them are blue in the second jar.

Now calculating the probability for red marble pick in the first chance goes this way. Anyway almost all candidates start by analyzing what happens if you place 50 red marbles in jar a and 50 blue marbles in jar b. This proposal is pretty intuitive i think but here is a proof. 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.

Say we put all the red marbles into jar a and all the blue ones into jar b. Then our chances for picking a red one are. 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. 1 2 chance we pick jar a 50 50 chance we pick a red marble 1 2 chance we pick jar b 0 50 chance we pick a red marble.

Given that the number of red and blue marbles are the same you would tend to think that the odds are 50 50. Put 1 red marble in jar a and put the remaining 99 marbles in jar b.