We have a bag filled with 201 marbles, of which 100 of them are blue and...

We have a bag filled with 201 marbles, of which 100 of them are blue and 101 of them are red. Every turn, we remove 2 marbles from the bag. If the two marbles are of the same color, we remove the two marbles but add a blue marble into the bag. If the two marbles are of different colors, we remove the two marbles and add a red marble into the bag. What is the color of the last marble in the bag?

Expert Solution

Last color of the marble in the bag is RED.

When you choose 2 different marble , at that time the no. of red marbles in the bag will not change as we are adding a red marble.

Since there are 101 red marbles , it cannot be completely become zero as removing 2 red marbles will result in atleast 1 red marble remaining at the end.

AT the end of all simulations you will find yourselves with 1 blue and 1 red marble and when you draw 1 red and 1 blue , you add one red marble and then red marble is the last in bag.

For any simulations ,at the end there will be a single red marble.

orchestra answered 1 year ago

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