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In: Statistics and Probability

# CALCULATING PROBABILITIES USING TREE DIAGRAMS AND COMBINATIONS Two apples are chosen from a basket containing five...

CALCULATING PROBABILITIES USING TREE DIAGRAMS AND COMBINATIONS

Two apples are chosen from a basket containing five red and three yellow apples. Draw a tree diagram below, and find the following probabilities.

1) P(one red, one yellow)

2) P(First red and second yellow)

Three marbles are drawn from a jar containing five red, four white, and three blue marbles. Find the following probabilities using combinations.

1) P(two white and 1 blue)

2) P(at least one red)

A committee of four is selected from a total of 4 freshmen, 5 sophomores, and 6 juniors. Find the probabilities for the following events.

1) No sophomores.

2) Not all four from the same class.

3) More juniors than freshmen and sophomores combined.

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