# Math

Three boxes each contain a number of billiard balls. One box contains only even-numbered balls, one box contains only odd numbered billiard balls, and the third box contains a mixture of odd and even numbered balls. All the boxes are mislabeled. By selecting one ball from only one of the boxes, can you correctly label the three boxes?
Explain why or why not.

1. Let the boxes be E,O,M.
Draw a ball from E. If it is even, then the box marked O must contain the even balls, because otherwise the M box would contain the evens, leaving O containing the odds. But O is mislabeled, so it must contain the evens.

So, drawing an even ball from the E box means that

E should be M
O should be E
M should be O

posted by Steve

## Similar Questions

1. ### math

For this problem, assume the balls in the box are numbered 1 through 9, and that an experiment consists of randomly selecting 3 balls one after another without replacement. What probability should be assigned to the event that at
2. ### Math

For this problem, assume the balls in the box are numbered 1 through 8, and that an experiment consists of randomly selecting 2 balls one after another without replacement. What probability should be assigned to the event that at
3. ### statistics

For this problem, assume the balls in the box are numbered 1 through 9, and that an experiment consists of randomly selecting 3 balls one after another without replacement. What probability should be assigned to the event that at
4. ### Finite

For this problem, assume the balls in the box are numbered 1 through 8, and that an experiment consists of randomly selecting 3 balls one after another without replacement. What probability should be assigned to the event that at
5. ### math

An experiment consists of drawing one ball from a box containing 5 white balls numbered 1 through 5 and black balls numbered 6 through 10. Find the probability that a randomly selected ball is black and numbered 7.
6. ### Statistics

A box contains five numbered balls (1,2,2,3 and 4). We will randomly select two balls from the box (without replacement). (a) The outcome of interest is the number on each of the two balls we select. List the complete sample space
7. ### Math

Tom has 5 boxes of balls. Each box contains x balls. His father gives him another 8 balls. Find the total number of balls Raul has in terms of x
8. ### Maths :(

41 different balls are drawn from a bag containing balls numbered 1,2,…,300. The probability that the number of odd balls drawn is larger than the number of even balls can be expressed as ab where a and b are coprime positive
9. ### math

You have seven balls labelled 1,2,…,7 and seven unlabelled, indistinguishable boxes. How many different ways can the balls be placed into the boxes? Details and assumptions Since the boxes are indistinguishable, putting all 7
10. ### math

A box contains 55 balls numbered from 1 to 55. If 15 balls are drawn with replacement, what is the probability that at least two of them have the same number?

More Similar Questions