Question

In: Statistics and Probability

There are 7 balls in a bag. They are identical except for color. 3 are red,...

There are 7 balls in a bag. They are identical except for color. 3 are red, 2 are white and 2 are blue. You are to draw 1 ball from the bag, note its color, and set it aside. Then you are to draw a second ball from the bag and note its color.

a. Make 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. Compute the probability for each outcome of the experiment.

Solutions

Expert Solution

Given that -

There are 7 balls in a bag. They are identical except for color. 3 are red, 2 are white and 2 are blue. You are to draw 1 ball from the bag, note its color, and set it aside. Then you are to draw a second ball from the bag and note its color.

a) tree diagram is -

b) Let P(x, y) be the probability of choosing an x-colored ball on the first draw and a y-colored ball on the second draw. Compute the probability for each outcome of the experiment.

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