Place three marbles – red, blue, and green-- in a container. Draw a marble, record its col our, return it, mix the marbles, draw again, and record 8. What do you think would be the effect on the outcomes if the first marble was not replaced before the second was drawn? 9. Try the experiment 18 times without replacement. List your pairs below. 10. Draw tree diagrams for the two experiments and write the theoretical probabilit ies for each experiment. 11. How does drawing with replacement change the probabilities? 12. Illustrate your answer to problem 8 by finding: a) P (red and blue, with replacement) = .... b) P (red and blue without replacement) =. 13. Two regular dice are thrown i. What is the sample space of this experiment? i. What is the probability that you will have a sum greater than 20? iii. Find the probability of the two numbers being the same?

A First Course in Probability (10th Edition)
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Place three marbles – red, blue, and green-- in a container. Draw a marble, record its col
our, return it, mix the marbles, draw again, and record.
8. What do you think would be the effect on the outcomes if the first marble was
not replaced before the second was drawn?
9. Try the experiment 18 times without replacement. List your pairs below.
10. Draw tree diagrams for the two experiments and write the theoretical probabilit
ies for each experiment.
11. How does drawing with replacement change the probabilities?
.........
12. Illustrate your answer to problem 8 by finding:
a) P(red and blue, with replacement) =
b) P (red and blue without replacement) = .
......
13. Two regular dice are thrown
i.
What is the sample space of this experiment?
i.
What is the probability that you will have a sum greater than 20?
ii.
Find the probability of the two numbers being the same?
Transcribed Image Text:Place three marbles – red, blue, and green-- in a container. Draw a marble, record its col our, return it, mix the marbles, draw again, and record. 8. What do you think would be the effect on the outcomes if the first marble was not replaced before the second was drawn? 9. Try the experiment 18 times without replacement. List your pairs below. 10. Draw tree diagrams for the two experiments and write the theoretical probabilit ies for each experiment. 11. How does drawing with replacement change the probabilities? ......... 12. Illustrate your answer to problem 8 by finding: a) P(red and blue, with replacement) = b) P (red and blue without replacement) = . ...... 13. Two regular dice are thrown i. What is the sample space of this experiment? i. What is the probability that you will have a sum greater than 20? ii. Find the probability of the two numbers being the same?
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