Probability Distribution

posted by .

An urn has fifteen red balls and nineteen white balls. Three balls are selected at random and the number of red balls are observed.

Find the probability distribution for
Number of Red Balls:
0 =
1 =
2 =
3 =

  • Probability Distribution -

    total amount of balls = 15 red + 19 white = 34 balls

    0 - 0/34 = 0
    1 - 1/34
    2 - 2/34 = 1/17
    3 - 3/34

  • Probability Distribution -

    Prob red = 15/34
    prob white = 19/34

    when picking three:
    prob(0 red) = C(3,0) (19/34)(18/33)(17/32) = 57/352
    prob(1 red) = C(3,1) (15/34)(19/33)(18/32) = 2565/5984
    prob(2red) = C(3,2) (15/34)(14/33)(19/32) = 1998/5984
    prob (3red) = C(3,3)(15/34)(14/33)(13/32) = 455/5984

    notice that the sum of the 4 fractions above is 5984/5984 = 1

  • typo - Probability Distribution -

    the 2nd last prob calculation should be 1995/5984

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Finite Math

    An urn contains six red balls and five white balls. A sample of 2 balls is selected at random from the urn. What is the probability that at least one of the balls is red?
  2. Math-Probability

    An urn contains four red balls and three white balls. A sample of 2 balls is selected at random from the urn. What is the probability that at least one of the balls is red?
  3. Finite Math

    An urn contains sixteen red balls and seventeen white balls. A sample of three balls is selected at random and the number of red balls observed. Determine the probability distribution for this experiment: Number of Red Balls/Probability …
  4. Finite Math-Probability

    Suppose we have an urn with 10 white balls and 6 red balls, and we create an experiment by randomly selecting 6 balls from the urn. a) What is the probability that the sample has the same number of white balls as red balls?
  5. Statistic

    A urn contains 21 red balls, 14 white balls If we randomly select 2 balls, one after the other without replacement, what is the probability that both of the balls selected are red?
  6. Strayer University

    An urn contains white balls and red balls. If Juan chooses balls at random from the urn, what is the probability that he will select white balls and red balls?
  7. statistics

    An urn contains 10 balls of which 6 are white, 3 are red and 1 is green. Two balls are drawn at random from the urn. Find the probability distribution of number of white balls drawn. Hence state the expected number of white balls one …
  8. statistics

    An urn contains 10 balls of which 6 are white, 3 are red and 1 is green. Two balls are drawn at random from the urn. Find the probability distribution of number of white balls drawn. Hence state the expected number of white balls one …
  9. statistics

    A jar contains 7 red balls, 5 green balls, 4 blue balls, and 3 white balls. A sample of size 7 balls is selected at random without replacement . Find t the probability that sample contains two red balls, 2 green balls, 2 blue balls, …
  10. Pre Algebra Probability

    Each of two urns contains green balls and red balls. urn 1 contains 10 green balls and 14 red balls. urn 2 contains 4 green balls and 11 red balls. if a ball is drawn from each urn what is p(red and red)?

More Similar Questions