SOLUTION: A survey of some residents of a certain community was conducted to determine the number of viewer of the four major stations A, B, C, and D. It was found that 90 people watch chann

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Question 1175438: A survey of some residents of a certain community was conducted to determine the number of viewer of the four major stations A, B, C, and D. It was found that 90 people watch channel A only, 82 watch channel B only, 77 watch channel C only, 96 watch channel D only. What is the probability that a resident of the community watches:
a. At least one channel?
b. channel A or channel c?
c. channel B or Channel D?
d. channel A or channel D?
I just want to verify my answers... Thank you

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The wording of the problem, and the nature of the given information, suggest that (a) all the residents of the community were surveyed and (b) each of them viewed only one of the four stations.

The statement of the problem is deficient in not specifying (a); and (b) is not realistic.

Nevertheless....

Total number of residents: 90+82+77+96 = 345

a. P(watch at least one channel) = %2890%2B82%2B77%2B96%29%2F345+=+345%2F345+=+1

b. P(watch A or C) = %2890%2B77%29%2F345
simplify and/or convert to a decimal or percentage as needed.

Parts c and d are similar; simply use the appropriate numbers.