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.

Yes

No

Total

Male

19

41

60

Female

12

28

40

Total

31

69

100

    1. What is the probability of a randomly selected individual being a male who smokes?
    2. What is the probability of a randomly selected individual being a male?
    3. What is the probability of a randomly selected individual smoking?
    4. What is the probability of a randomly selected individual smoker given they are male?
    5. What is the probability that a randomly selected individual is a male given they are a smoker?

 

The probability of selecting a mae who smokes  = Number of males who smoke / Total number of males in the sample

Probability(male who smokes) = 19/60 = 0.317 (answer rounded to three decimal places)

Probability of selecting a male = Number of males / The sample size; = 60/100 = 0.6

probability of selecting an individual smoking = Number of smokers/sample size; = 31/100 = 0.31

probability of selecting a smoker given that they are male = male smokers/ number of males; = 19/60 = 0.32

Probability that an individual is male given that they are smokers; = male smokers/smoker;  19/31= 0.61

 

 

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