Six hundred adults were asked whether or not they watch for calories and fat con
ID: 3207180 • 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
72
169
59
Women
108
129
63
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) =
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
72
169
59
Women
108
129
63
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) =
six hundred adults were asked whether or not they watch rcr calories and fat ccntent when they buy groceries, The following table gives the two-way dassificaticn cr their responses, where yes means that an adult watches for calcries and rat content and no means he/she does not watch. Yes No No opinion Women 109 129 63 rollowing prcbabilities. domly selected from these 600 adults, find the one ad a. Aman or no opinion or yesExplanation / Answer
a) P(man or no) = P(man) + P(no) - P(man and no)
= (72+169+59)/600 + (169+129)/600 - 169/600
= (72 + 169 + 59 + 129) / 600
= 143/200
b) P(yes or women) = P(yes) + P(woman) - P(yes and women)
= (72+108)/600 + (108+129+63)/600 - 108/600
= (72 + 108 + 129 + 63) / 600
= 31/50
c) P(no opinion or yes) = P(no opinion) + P(yes) - P(no opinion and yes)
= (59+63)/600 + (72+108)/600 - 0
= (59 + 63 + 72 + 108) / 600
= 151/300
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