If you are randomly sampling one at a time with replacement from a bag that contains eight blue marbles, seven red marbles, and five green marbles, what is the probability of obtaining: A blue marble in one draw from the bag? Three blue marbles in three draws from the bag? A red, a green, and a blue marble in that order in three draws from the bag? At least two red marbles in three draws from the bag?   You are planning to make a “killing” at the race track. In a particular race, there are seven horses entered. If the horses are all equally matched, what is the probability that you will correctly pick the winner and the runner-up?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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  1. If you are randomly sampling one at a time with replacement from a bag that contains eight blue marbles, seven red marbles, and five green marbles, what is the probability of obtaining:
  2. A blue marble in one draw from the bag?
  3. Three blue marbles in three draws from the bag?
  4. A red, a green, and a blue marble in that order in three draws from the bag?
  5. At least two red marbles in three draws from the bag?

 

  1. You are planning to make a “killing” at the race track. In a particular race, there are seven horses entered. If the horses are all equally matched, what is the probability that you will correctly pick the winner and the runner-up?
Expert Solution
Step 1

(a) Total no. of marbles = 8+7+5 = 20

P(drawing a blue marble) =820

P(drawing a red marble) = 720

P(drawing a green marble) = 520

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