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Athletic shoes Sandals Dress shoes Other Total Men 22 8 4 9 43 Women 15 9 28 14 66 Total 37 17 32 23 109

Athletic shoes

Sandals

Dress shoes

Other

Total

Men

22

8

4

9

43

Women

15

9

28

14

66

Total

37

17

32

23

109

Probability questions

  1. If you pick one of the people in your data set, what is the probability that the person:
    • Is a man?
    • Wears athletic shoes?
    • Is a man or wears athletic shoes?
    • Is a person wearing sandals, given that the person is female?
    • Is wearing sandals and dress shoes?
  2. Next, if you pick two different people from your data, without replacement, what is the probability that:
    • Both are wearing athletic shoes?
    • The first is a man wearing athletic shoes and the second is a woman wearing dress shoes?
  3. Finally, if you pick two people, with replacement, from your data, what is the probability that?
    • Both are wearing athletic shoes?
    • The first is a man wearing athletic shoes and the second is a woman wearing dress shoes?

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