In a sample of 800 U.S. adults, 220 dine out at a resaurant more than once per w

Question

In a sample of 800 U.S. adults, 220 dine out at a resaurant more than once per week. Two U.S. adults are selected at random from the population of all U.S. adults without replacement. Assuming the sample is representative of all U.S. adults, complete parts (a) through (d).

(a) Find the probability that both adults dine out more than once per week. The probability that both adults dine out more than once per week is nothing. (Round to three decimal places as needed.)

(b) Find the probability that neither adult dines out more than once per week. The probability that neither adult dines out more than once per week is nothing. (Round to three decimal places as needed.)

(c) Find the probability that at least one of the two adults dines out more than once per week. The probability that at least one of the two adults dines out more than once per week is nothing.

which event is unusal a, b, c  

Explanation / Answer

A) Probability one adult will dine out more than once a week is 220/800 =0.275
Probability both selected will dine out more than once a week is (220/800)(219/799)=0.076

B) Probability neither dines out is (580/800)*(579/799)=0.526

C) Probability at least one should be the complement of

1-0.5254=0.475

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