top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

Eventually, just one ball is left in the container. What color is it?

+1 vote
137 views

A container contains 75 white balls and 150 black ones.

Next to the container is a large pile of black balls.

The coach asks one of the players to remove the balls from the container, one at a time, according to the following strange rule: He has to remove two balls from the container at random. If at least one of the balls is black, he places it on the ball-pile and drops the other ball, no matter what color, back in the container.

If both balls are white, on the other hand, he discards both of them and removes one black ball from the pile and drops it in the container.

At each turn of this procedure, the container has one less ball in it. Eventually, just one ball is left in the container. What color is it?

posted Jul 10, 2018 by Vikram Luthra
Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

1 Answer (Check Answer ▼)


Your answer

Preview

Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.



Similar Puzzles
+1 vote

In the drawer beside your bed, you have three orange, two pink and five purple balls. There is no electricity and the room is completely dark.
How many balls you must take out to make sure you have one ball of each color at least.

0 votes

Is the statement valid that it does not matter how much older a sibling is, eventually the younger one will be half as old as the older one ?

0 votes

A bag contains 80 blue marbles and 70 red marbles. Next to this bag is a pile of blue and red marbles. We take the marbles out of the bag in groups of two, with the following rules:

If the two marbles are of the same color, we put them in the pile and place a blue marble back into the bag.
If the two marbles are of different colors, we put them in the pile and place a red marble back into the bag.

What is the color of the last marble left in the bag?

+1 vote

There is a bag which have 21 blue balls and 23 red balls. You also have 22 red balls outside the bag.

Randomly remove two balls from the bag.
* If they are of different colors, put the blue one back in the bag.
* If they are the same color, take them out and put a red marble back in the bag.

Repeat this until only one marble remains in the bag.

What is the color of the sole marble left in the bag ?

...