To find the probability that an individual randomly selected from the study died from cancer or was a current cigar smoker, we need to add the probabilities of each event happening.
The probability of dying from cancer is (777 + 88) / (777 + 88 + 121,312 + 6,168 + 9,684) = 865 / 137,029.
The probability of being a current cigar smoker is (108 + 9,684) / (777 + 88 + 121,312 + 6,168 + 9,684) = 9,792 / 137,029.
To find the probability of either event happening, we add these probabilities together:
(865 + 9,792) / 137,029 = 10,657 / 137,029.
So, the probability that an individual randomly selected from this study died from cancer or was a current cigar smoker is 10,657 / 137,029.
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If an individual is randomly selected from this study, what is the probability that he died from cancer or was a current cigar smoker?
Died from Cancer
Never smoked cigars=777
Former cigar smoker=88
Current cigar smoker=108
Did Not Die from Cancer
Never smoked cigars=121,312
Former cigar smoker=6,168
Current cigar smoker=9,684
3 answers
Use the General Addition Rule to find the probability. The rule states that for any two events E and F, P(E or F)=P(E)+P(F)-P(E and F).
To find the probability that an individual randomly selected from the study died from cancer or was a current cigar smoker using the General Addition Rule, we need to find the probabilities of each event individually and subtract the probability of both events happening.
The probability of dying from cancer is (777 + 88) / (777 + 88 + 121,312 + 6,168 + 9,684) = 865 / 137,029.
The probability of being a current cigar smoker is (108 + 9,684) / (777 + 88 + 121,312 + 6,168 + 9,684) = 9,792 / 137,029.
The probability of both dying from cancer and being a current cigar smoker is 88 / (777 + 88 + 121,312 + 6,168 + 9,684) = 88 / 137,029.
Using the General Addition Rule: P(Died from Cancer or Current Cigar Smoker) = P(Died from Cancer) + P(Current Cigar Smoker) - P(Died from Cancer and Current Cigar Smoker)
= 865 / 137,029 + 9,792 / 137,029 - 88 / 137,029
= (865 + 9,792 - 88) / 137,029
= 10,569 / 137,029.
So, the probability that an individual randomly selected from this study died from cancer or was a current cigar smoker, using the General Addition Rule, is 10,569 / 137,029.
The probability of dying from cancer is (777 + 88) / (777 + 88 + 121,312 + 6,168 + 9,684) = 865 / 137,029.
The probability of being a current cigar smoker is (108 + 9,684) / (777 + 88 + 121,312 + 6,168 + 9,684) = 9,792 / 137,029.
The probability of both dying from cancer and being a current cigar smoker is 88 / (777 + 88 + 121,312 + 6,168 + 9,684) = 88 / 137,029.
Using the General Addition Rule: P(Died from Cancer or Current Cigar Smoker) = P(Died from Cancer) + P(Current Cigar Smoker) - P(Died from Cancer and Current Cigar Smoker)
= 865 / 137,029 + 9,792 / 137,029 - 88 / 137,029
= (865 + 9,792 - 88) / 137,029
= 10,569 / 137,029.
So, the probability that an individual randomly selected from this study died from cancer or was a current cigar smoker, using the General Addition Rule, is 10,569 / 137,029.
1 answer