Consider the experiment of rolling a dice. Find the probability of getting an even number 3) and a number that is multiple of 3.

Respuesta :

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]