Place three marbles - red, blue, and green---- in a container. Drawa marble, record its colour, return it, mix the marbles, draw again, and record. i. Repeat this experiment until you have 18 pairs of outcomes. List your pairs below. Write R for red, B for blue, and G for green. ii.!a) How many times was red drawn second? b) Blue drawn second? c) Green drawn second? iii. How many times did you expect each colour to be drawn second? .

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Place three marbles - red, blue, and green---- in a
container. Draw a marble, record its colour, return it,
mix the marbles, draw again, and record.
i. Repeat this experiment until you have 18 pairs of
outcomes. List your pairs below. Write R for red, B for
blue, and G for green.
ii.!a) How many times was red drawn second?
b) Blue drawn second?
c) Green drawn second?
ii. How many times did you expect each colour to be
drawn second?
iv. What do you think would be the effect on the
outcomes if the first marble was not replaced before
the second was drawn?
v. Try the experiment 18 times without replacement.
List your pairs below.
vi. Draw tree diagrams for the two experiments and
write the theoretical probabilities for each experiment.
vii. How does drawing with replacement change the
probabilities?
viii. Illustrate your answer to problem 8 by finding:
a) P (red and blue, with replacement):
b) P (red and blue without replacement)
ix. Two regular dice are thrown
i. What is the sample space of this experiment?
ii. What is the probability that you will have a sum
greater than 20?
iii. 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 colour, return it, mix the marbles, draw again, and record. i. Repeat this experiment until you have 18 pairs of outcomes. List your pairs below. Write R for red, B for blue, and G for green. ii.!a) How many times was red drawn second? b) Blue drawn second? c) Green drawn second? ii. How many times did you expect each colour to be drawn second? iv. What do you think would be the effect on the outcomes if the first marble was not replaced before the second was drawn? v. Try the experiment 18 times without replacement. List your pairs below. vi. Draw tree diagrams for the two experiments and write the theoretical probabilities for each experiment. vii. How does drawing with replacement change the probabilities? viii. Illustrate your answer to problem 8 by finding: a) P (red and blue, with replacement): b) P (red and blue without replacement) ix. Two regular dice are thrown i. What is the sample space of this experiment? ii. What is the probability that you will have a sum greater than 20? iii. Find the probability of the two numbers being the same?
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