The data in the table represent the causes of death from smokers and non-smokers
ID: 3356216 • Letter: T
Question
The data in the table represent the causes of death from smokers and non-smokers.
LEAVE ALL ANSWERS AS FRACTIONS IN LOWEST FORM. I DO NOT WANT DECIMALS AS ANSWERS
Cause of Death
Cancer
Heart Disease
Other
Total
Smoker
135
310
205
650
Non-smoker
55
155
140
350
Total
190
465
345
1000
a) If one person is chosen at random, find the probability that he or she died of heart disease
b) If one person is chosen at random, find the probability that he or she was a smoker or died of cancer
c) If one person is chosen at random, find the probability that he or she was a non-smoker who died of heart disease
d) If one person is chosen at random, find the probability that he or she died of other causes
e) If one person is chosen at random, find the probability that he or she died of cancer or heart disease
f) If one person is chosen at random, find the probability that he or she died of cancer, given that he or she was a smoker
Cancer
Heart Disease
Other
Total
Smoker
135
310
205
650
Non-smoker
55
155
140
350
Total
190
465
345
1000
Explanation / Answer
a) P(Heart disease) = 465/1000 = 0.465
b) P(smoker or cancer) = 190/1000 + 650/1000 - 135/1000
P = 0.705
c) P(NS dies of heart disease) = 155/1000 = 0.155
d) P(other causes) = 345/1000 = 0.345
e) P = (190 + 465)/1000
P = 0.655
f) P = 135/190
P = 0.71
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