Math - Probability

posted by .

I want to know that if 1 person in 50 has one blue eye and one green and you have 700 people living in an area in groups of four. What is the probability that three of those people would end up together?
Would it be greater or less of one of those people only had a relation who had this eye feature?
I know this is an odd one but it's been bugging me. Thanks to those who attempt to answer this.

Out of 700, you have 14 candidates.

Pr(three)=14/700 * 13/699 * 12/698 * 686/697 = 6.29380573 × 10-6 or about a six in a million chance.

Not quite bobpursley.

You have given the probability of a particular drawing sequence having exacty three "with blue-gree". That is, the sequence is (yes,yes,yes,no). There are exactly 4 different sequences that would produce three yeses (n,y,y,y), (y,n,y,y), (y,y,n,y) and (y,y,y,n).

Soooooo, in short, multiply your answer by 4

Actually, we shouldn't assume that there are 14 people with blue-green eyes. The probability is 4*(1/50)^3*(49/50)= 3.1*10^(-5)

Count Iblis is right in that, under the original question, we shouldnt assume that there are 14 people with green eyes. However, I think Count Iblis's solution applies if we were drawing from a very large population. I think that since the problem asks us to draw from a finite population of 700, this changes the solution criteria. (Or is 700 sufficiently large).

This problem is beyond me.

The more I think about it, the more I think Count Iblis is right all the way around. The problem doesnt draw from a finite population of 700 but an expected population of 700. This should remove my finite population concerns.

Thanks for all your help everyone. At least I have a rough idea of the numbers involved. I am happy to assume larger numbers. I just happen to be using 700 for the problem.
I didn't need an exact answer as I know it was an odd question but the idea of the probablility was very useful so thanks to those who answered.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math-Probability

    Hello, I'm trying to figure out this probability problem. Can anyone help walk me through?
  2. probability problem

    A box contains 6 green, 8 red, 5 yellow, and 10 blue marbles. Four marbles are drawn from the box at the same time. a) What is the probability that all four marbles are the same color?
  3. Stats

    The probability that a person has blue eyes is 16%. Three unrelated people are selected at random. a. Find the probability that all three have blue eyes: b. Find the probability that none of the three have blue eyes c. Find the probability …
  4. science

    what is the probability that if each parent has one brown eye gene and one blue eye gene will have one chance in four that there children will get two blue eye genes?
  5. Statistics

    An urn contains three yellow,four green and five blue balls. Two balls are randomly drawn without replacement. Find the probability of the following events: a.both balls are blue. b.the first ball is green and the second yellow. c.there …
  6. Statistics

    Achusband and wife with brown eyes who have 0.75 probability of having children with brown eyes, 0.125 probability of having children with blue eyes, and 0.125 probability of having children with green eyes. (a) What is the probability …
  7. MS.SUE DAMON REED PSYDAG PLZ HELP ON MATH PLZZZ!!!

    1. The table shows the results of spinning a four-colored spinner 50 times. Find the experimental probability and express it as a decimal. P(not red) = ?
  8. Math

    I have my answers but need them checked and i probably got them wrong so if you can please explain. #1: Which of the following sample spaces correctly lists all the possible outcomes for flipping a coin and spinning a four-colored …
  9. College Math

    Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, four green ones, five white ones, and one purple one. She grabs seven of them. Find the probability of the following event, …
  10. English

    posted by rfvv on Monday, August 29, 2011 at 12:18am. 1. I have three balls: one is green, another is blue, and the other is white. 2. I have three balls: one is green, a second is blue, and the third is white. (Are both grammatical?

More Similar Questions