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# Probability

1) In the class, there are 12 freshmen, of whom 8 are males and 15 sophomores, of whom 5 are females. If one student is selected at random, what is the probability of selecting a freshman or a female?

2) In a recent poll by American Automobile Club, 40% of the surveyed said that they were worried about aggressive drivers. If 3 people are randomly selected, what is the probability that all 3 will be worried about aggressive drivers?

3) A Container has 6 blue marbles, 3 red marbles, and 6 white marbles. If 3 marbles are drawn with replacement, what is the probability that all three will be blue?

#### Solution Preview

1) In the class, there are 12 freshmen, of whom 8 are males and 15 sophomores, of whom 5 are females. If one student is selected at random, what is the probability of selecting a freshman or a female?

Solution. We need to figure out how many students are freshman or female. By the given information, there are 12 freshmen; also we know that there are 5 sophomores. Hence, we know that there are 12+5=17 students who are ...

#### Solution Summary

Probability problems are solved.

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