A 8-sided die is rolled twice. If the same number comes up both times we say that "doubles" was rolled. If at least one 3 was rolled, what is the probability that doubles was roll

Respuesta :

Answer:

[tex]\dfrac{1}{15}[/tex]

Step-by-step explanation:

A 8-sided die is rolled twice and at least one 3 was rolled. So, the total possible outcomes are

(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(3,7),(3,8),(1,3),(2,3),(4,3),(5,3),(6,3),(7,3),(8,3)

If the same number comes up both times we say that "doubles" was rolled.  

Total favorable outcomes = {3,3}

Total number of favorable outcomes = 1

We need to find the probability that doubles was roll.

[tex]Probability=\dfrac{\tex{Favorable outcomes }}{\text{Total outcomes}}[/tex]

[tex]Probability=\dfrac{1}{15}[/tex]

Therefore, the probability that doubles was roll is [tex]\dfrac{1}{15}[/tex].