Math

posted by Erika

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. Steve

    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

Respond to this Question

First Name

Your Answer

Similar Questions

  1. Probability again

    A box contains 6 red balls, 4 blue balls, and 2 green balls. Three balls are randomly drawn (without replacement) from the box. What is the probability that the three balls selected are all the same color?
  2. Discrete Math

    A box contains 55 balls numbered from 1 to 55. If 8 balls are drawn with replacement, what is the probability that at least two of them have the same number?
  3. Finite

    Assume that the box contains balls numbered from 1 through 28, and that 3 are selected. A random variable X is defined as 1 times the number of odd balls selected, plus 2 times the number of even. How many different values are possible …
  4. 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?
  5. 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 …
  6. math

    A basket contains 15 red numbered balls and 10 white numbered balls. A sample of five balls is selected. How many samples contain three red balls and two white balls?
  7. 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 integers. …
  8. math

    a box filled with identically shaped balls contains 5 balls with the number 1 on them, 8 balls with the numbers 10 on them, 15 balls with the number 12, and 2 balls with the number 20 on them. If the balls cannot be seen from outside …
  9. 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
  10. probability theory

    3 students; A, B and C, are in a swimming race. A and B have the same probability of winning and each is twice as likely to win as C. Find the probability that B or C wins the swimming race. 3) Given three boxes as follows: Box A contains …

More Similar Questions