Answer:
1) [tex]\frac{1}2}[/tex]
2) [tex]\frac{1}3}[/tex]
Step-by-step explanation:
sample space of the dice out come
s={1,2,3,4,5,6}
sample space of getting even number.
[tex]S_{even}[/tex]={2,4,6}
sample space of getting number multiple of 3
[tex]S_{3 multiple}[/tex]={3,6}
P(even number) =[tex]\frac{getting\ even \ number}{total\ sample \ space}[/tex]
P(even number) =[tex]\frac{3}{6}[/tex]
=[tex]\frac{1}{2}[/tex]=0.5
P(multiple of 3) =[tex]\frac{getting\ multiple \ of \ 3}{total\ sample \ space}[/tex]
P(multiple of 3) =[tex]\frac{2}{6}[/tex]
=[tex]\frac{1}{3}[/tex]