Answer:
a)0.25
b)0.375
Step-by-step explanation:
Possible outcomes when dice are rolled : 1 ,2 ,3,4,5 ,6
Even= 2,4,6
Odd = 1 ,3 , 5
Probability of getting even =[tex]\frac{3}{6}=\frac{1}{2}[/tex]
Probability of getting odd = [tex]\frac{3}{6}=\frac{1}{2}[/tex]
4 dices are rolled together
a)P(3 even and 1 odd numbers)
P(3 even and 1 odd numbers)=[tex]^4C_3 (\frac{1}{2})^3 (\frac{1}{2})^1[/tex]
P(3 even and 1 odd numbers)=[tex]\frac{4!}{3!1!} (\frac{1}{2})^3 (\frac{1}{2})^1 =0.25[/tex]
b)P(2 even and 2 odd numbers)
P(2 even and 2 odd numbers)=[tex]^4C_2 (\frac{1}{2})^2 (\frac{1}{2})^2[/tex]
P(3 even and 1 odd numbers)=[tex]\frac{4!}{2!2!} (\frac{1}{2})^2 (\frac{1}{2})^2[/tex]=0.375
