Six hundred adults were asked whether or not they watch for calories and fat con
ID: 3232150 • Letter: S
Question
Six hundred adults were asked whether or not they watch for calories and fat content when they buy groceries. The following table gives the two-way classification of their responses, where yes means that an adult watches for calories and fat content and no means he/she does not watch.
Yes
No
No Opinion
Men
73
171
56
Women
107
126
67
If one adult is randomly selected from these 600 adults, find the following probabilities.
Give exact answers in fraction form.
a. P(man or no) =
______
b. P(yes or woman) =
______
c. P(no opinion or yes) =
______
Yes
No
No Opinion
Men
73
171
56
Women
107
126
67
Explanation / Answer
Total = 600
a)
P(Man) = 300/600 = 0.5
P(No) = 297/600 = 0.495
P(Man and No) = 171/600 = 0.285
P(Man or No) = P(Man) +P(No) -P(Man and No)
= 0.5+0.495-0.285 = 0.71
b)
P(woman) = 300/600 = 0.5
P(yes) = 180/600 = 0.3
P(yes and woman) = 107/600 = 0.1783
P(yes or woman) =P(woman) +P(yes) - P(yes andwoman ) = 0.5+0.3-0.1783= 0.622
c)
P(no opinion) = 123/600 = 0.205
P(yes) = 180/600 = 0.3
P(no opinion or yes) = P(no opinion)+P( yes)
= 0.205+0.3 = 0.505
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