A bag contains 4 red marbles and 5 blue marbles. 1. If 3 marbles are randomly selected from the bag (without replacement),find the probability that exactly one of the three marbles selected is red? Expressyour answer as a reduced fraction. 2.A random draw of 3 marbles from the bag is considered a success if all 3marbles have the same color. If a sequence of 3-marble draws are performed, findthe probability that the first success occurs on the 6th draw.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A bag contains 4 red marbles and 5 blue marbles.

1. If 3 marbles are randomly selected from the bag (without replacement),
find the probability that exactly one of the three marbles selected is red? Express
your answer as a reduced fraction.

2.A random draw of 3 marbles from the bag is considered a success if all 3
marbles have the same color. If a sequence of 3-marble draws are performed, find
the probability that the first success occurs on the 6th draw.

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