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# statistics - probabilities

The data given:

Suppose 200 men and 200 women participate in a study and 280 report they prefer plain water. Of the participants preferring a sports drink, 80 were men and 40 were women.

Find the various probabilities under a - f (omit g) below.

a. What is the probability that a person prefers water?
b. What is the probability that a person prefers the sports drinks?
c. Probability of being male given they prefer a sports drink:
Probability of being a female given they prefer a sports drink:
d. Probability of both male and preferring sports drink:
Probability of both female and preferring sports drink:
e. Given that the consumer is a man, what is the probability he prefers sports drinks?
f. Given that the consumer is a woman, what is the probability she prefers sports drinks?

#### Solution Preview

The data given:

Suppose 200 men and 200 women participate in a study and 280 report they prefer plain water. Of the participants preferring a sports drink, 80 were men and 40 were women.

Find the various probabilities under a - g below.

Probability is another word for "chance". What are the "chances" that something will occur? Hint: valid probabilities are always from zero to one.

Basic probability ...

#### Solution Summary

Response uses probabilities tables (not statistics formulas) so that you can get the idea and not get bogged down in mega-computations.

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