Answer:
(a)5/66
(b)15/44
(c)2/11
Step-by-step explanation:
Candy Bowl
Number of Peppermints=10
Number of cinnamon disks=5
Number of butterscotch=7
Total=10+5+7=22
Gum Bowl
Number of bubble gums=3
Number of Dentine=9
Number of spearmints=6
Total=3+9+6=18
(a)P(peppermints, bubblegums)
P(peppermints)[tex]=\frac{10}{22}[/tex]
P(bubblegums)[tex]=\frac{3}{18}[/tex]
P(peppermints, bubblegums)[tex]=\frac{10}{22}X \frac{3}{18} =\frac{5}{66}[/tex]
(b)P(not butterscotch, Dentine)
P(butterscotch)[tex]=\frac{7}{22}[/tex]
P(not butterscotch)[tex]=1-\frac{7}{22}=\frac{15}{22}[/tex]
P(Dentine)[tex]=\frac{9}{18}[/tex]
P(not butterscotch, Dentine)[tex]=\frac{15}{22} X \frac{9}{18}=\frac{15}{44}[/tex]
(c)P(cinnamon or butterscotch, spearmint)
[tex]\text{P(cinnamon)=}\frac{5}{22} \\\text{P(butterscotch)=}\frac{7}{22} \\\text{P(cinnamon or butterscotch)=}\frac{5}{22} +\frac{7}{22} =\frac{12}{22} \\\text{P(spearmint)=}\frac{6}{18} \\\text{P(cinnamon or butterscotch, spearmint)=}\frac{12}{22} X \frac{6}{18} =\frac{2}{11}[/tex]
