P (Boy if favorite activity is swimming)

0.47

P (Girl if favorite activity is sports)

0.26

P (Girl if favorite activity is reading)

0.67

P (Boy if favorite activity is sports)

0.74

P (Favorite activity is swimming if a girl)

P (Favorite activity is reading if a boy)

P (Favorite activity is swimming if a boy)

P (Favorite activity is reading if a girl)

Question

Mathematics

Reece Robertson

28 February, 07:13

P (Boy if favorite activity is swimming)

0.47

P (Girl if favorite activity is sports)

0.26

P (Girl if favorite activity is reading)

0.67

P (Boy if favorite activity is sports)

0.74

P (Favorite activity is swimming if a girl)

P (Favorite activity is reading if a boy)

P (Favorite activity is swimming if a boy)

P (Favorite activity is reading if a girl)

+2

Answers (1)

Know the Answer?

Rey Friedman · Answer 1

Given the probabilities listed above, we are asked for the following:

P (Favorite activity is swimming if a girl)

P (Favorite activity is reading if a boy)

P (Favorite activity is swimming if a boy)

P (Favorite activity is reading if a girl)

So,

P (Favorite activity is swimming if a girl) = 1 - 0.47 = 0.53

P (Favorite activity is reading if a boy) = 1 - 0.67 = 0.33

P (Favorite activity is swimming if a boy) = 0.47

P (Favorite activity is reading if a girl) = 0.67