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A group of people were asked "What time do you prefer to see a movie? The two way tablebelow represents the results by their age.Morning 4 2 12 25 4316-20 21-25 26-30 Over 30 TotalsAfternoon 8 12 18 32 70EveningTotals28 34 28 11 101Late Night 34 18 21 4 7774 66 79 72 291What the approximate probability that a person will be over 30 given they prefer afternoonmovies?

A Group Of People Were Asked What Time Do You Prefer To See A Movie The Two Way Tablebelow Represents The Results By Their AgeMorning 4 2 12 25 431620 2125 2630 class=

Answer :

From theinformation given,

total number of people = 291

Number of persons over 30 that prefer afternoon movies = 32

Number of persons that prefer afternoon movies = 70

This is a conditional probability.

Recall, Probability of event A given event B = P(A and B)/P(B)

Thus,

Probability that a person will be over 30 given that they prefer afternoon movies = 32/70

By multiplying by 100, it becomes

32/70 x 100

= 46%

Probability that a person will be over 30 given that they prefer afternoon movies = 46%

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