anonymous
  • anonymous
A bag contains five blue marbles, five red marbles, five white marbles, and five black marbles. You draw a marble from the bag, and then draw another marble from the bag. Do you have a greater probability of drawing two blue marbles if you replace the first marble after you draw it or if you don't replace the marble? Your answer should include both the mathematical proof and a written statement.
Mathematics
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anonymous
  • anonymous
A bag contains five blue marbles, five red marbles, five white marbles, and five black marbles. You draw a marble from the bag, and then draw another marble from the bag. Do you have a greater probability of drawing two blue marbles if you replace the first marble after you draw it or if you don't replace the marble? Your answer should include both the mathematical proof and a written statement.
Mathematics
chestercat
  • chestercat
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
OregonDuck
  • OregonDuck
There are 20 marbles in the bag of which 5 are blue. Therefore the probability of the first marble being drawn being blue = 5/20. If you replace the marble there are still 20 marbles in the bag and 5 are blue. Therefore the probability of the second marble also being blue is again 5/20. As you need both to be blue you MULTIPLY the individual probabilities 5/20 * 5/20 = 25/400 = 1/16 IF You DO NOT replace the marble The probability of the first marble being blue is still 5/20 However after this is drawn there now remain 19 marbles in the bag and only 4 are blue. Therefore the probability that the second is blue given that the first is also blue = 4/19 Multiply the individual probabilities together 5/20 * 4/19 = 20/380 = 1/19 As 1/16 > 1/19 you have a greater probability if you REPLACE the first marble
anonymous
  • anonymous
hey woould you be will ing to help me on this long lesson i have???? i dont want to bother you :p

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anonymous
  • anonymous

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