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Finding the probability of each event in a group of events of different possibility
There are six balls in an urn. They are identical except for color. Two are red, three are blue, and one is yellow. You are to draw a ball from the urn, note its color, and set it aside. Then you are to draw another ball from the urn and note its color.
a. Draw a tree diagram to show all possible outcomes of the experiment. Label the probability associated with each stage of the experiment on the appropriate branch.
b. What is the probability that the first ball drawn is red and the second is yellow?
c. What is the probability that both balls are of the same color?
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There are 6 children in a family. The number of children defines a population. The number of simple random samples of size 2 that are possible equals:
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