. You have a bag with marbles in it: 3 red and 2 blue. Use a tree diagram to show all of the outcomes of drawing a marble out of the bag two different times (with replacement). Note: there are only two options each time: red or blue. However, the probabilities are not equal – this is NOT a fair bag of marbles. There should be four pathways in your tree diagram. However, the weights on the branches are not all the same. Using your tree diagram from above, construct a table showing the probability distribution for the events: 2 reds, 1 red, and 0 red. Using your tree diagram and probability distribution from above, what is the probability that the person pulled out two blues, or P (B, B)?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 42E
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. You have a bag with marbles in it: 3 red and 2 blue. Use a tree diagram to show all of the
outcomes of drawing a marble out of the bag two different times (with replacement). Note:
there are only two options each time: red or blue. However, the probabilities are not equal –
this is NOT a fair bag of marbles. There should be four pathways in your tree diagram.
However, the weights on the branches are not all the same. Using your tree diagram from above, construct a table showing the probability distribution for
the events: 2 reds, 1 red, and 0 red. Using your tree diagram and probability distribution from above, what is the probability that
the person pulled out two blues, or P (B, B)?

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