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A group of 350 people includes 167 play the flute, 182 play the clarinet, and 86 both the flute and the clarinet. A person is

A group of 350 people includes 167 play the flute, 182 play the clarinet, and 86 both the flute and the clarinet. A person is selected at random.

1. What is the probability that he/she plays the clarinet but not the flute?

a. 0.1113

b. 0.2305 c. 0.1660 d. 0.8887 e. 0.2743

2. What is the probability that he/she plays exactly two of these types of instruments?

a. 0.2943

b. 0.2457 c. 0.2075 d. 0.7879 e. 0.6213

3. What is the probability that he/she plays none of these instruments?

a. 0.2143

b. 0.3458 c. 0.5151 d. 0.2486 e. 0.4851

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