Two fair, six-sided number cubes are rolled. What is the probability that the sum of the values shown is less than 4?

2/3
1/12
1/4
1/3

Respuesta :

i believe it is 2/3 not sure but i think so :)
aachen

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

Let S be the sample space, when two fair six-sided number cubes are rolled.

The sample space is in attached pic.

Let E be the event when sum of the values is less than 4.

[tex]E=\left \{ (1,1), (1,2), (2,1) \right \}[/tex]

We know that [tex]P(E)=\frac{n(E)}{n(S)}[/tex] i.e [tex]P(E)=\frac{number\:of\:elements\:in\:E}{number\:of\:elements\:in\:S}[/tex]

So, [tex]P(E)=\frac{3}{36}=\frac{1}{12}[/tex]

Ver imagen aachen