A certain board game requires the roll of 3 standard dice to determine the outcome of a battle. what is the probability that at least one of the dice will show an even number?

Respuesta :

Answer: 7/8


I took a lucky guess on my quiz and got it right answer, thought everyone would like to know.


Answer:

[tex]\frac{7}{8}[/tex]

Step-by-step explanation:

We are given that three dice rolled.

Even number in a dice =3

Odd numbers in a dice =3

Total number of cases in a dice=6

Probability =[tex]\frac{number\;of\;favorable\;cases}{total\;number\;of\;cases}[/tex]

Probability of getting an odd number when a dice rolled  =[tex]\frac{3}{6}=\frac{1}{2}[/tex]

Probability that three dice show  odd number when three dice rolled=[tex](\frac{1}{2})^3=\frac{1}{8}[/tex]

Therefore, the probability that at-least one of the dice will show an even number=[tex]1-\frac{1}{8}=\frac{7}{8}[/tex]

Answer:[tex]\frac{7}{8}[/tex]