Question

Favorite Summer Activity for 50 Children (Mix & Match)
Reading Sports Swimming TOTAL
Boys 2 20 8 30
Girls 4 7 9 20
TOTAL 6 27 17 50


P(Boy if favorite activity is swimming)
P(Girl if favorite activity is sports)
P(Girl if favorite activity is reading)
P(Boy if favorite activity is sports)
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)

Answer Options:
0.26
0.07
0.20
0.27
0.45
0.47
0.67
0.74

Answer 1

Answer:

Step-by-step explanation:

P(Boy if favorite activity is swimming)  = 8/17 = 0.47

(Number of boys who swim / Total who swim)

P(Girl if favorite activity is sports) = 7/27 =  0.26

(Number of girls who sport / Total who sports)

P(Girl if favorite activity is reading)  = 4/6 = 0.33

(Number of girls in activity / Total in activity)

P(Boy if favorite activity is sports)  = 20/27 =  0.74

(Number of boys who sport / Total who sports)

P(Favorite activity is swimming if a girl)  = 9/20 = 0.45

(Number of girls who swims/ Total girls)

P(Favorite activity is reading if a boy)  =  2/30 = 0.07

(Number of boys who reads/ Total boys)

P(Favorite activity is swimming if a boy)  = 8/30 = 0.27

(Number of boys who swims/ Total boys)

P(Favorite activity is reading if a girl) = 4/20 = 0.2

(Number of girls who reads/ Total girls)