Question

If two dice are rolled, what is the probability that the sum of the dice is 10?

Answer 1

The proability is `P(A)=1/12`

Explanation:

According to the classic definition of probability

`P(A)=bar(bar(A))/bar(bar(Omega))`

where:

`bar(bar(A))` is the number of elementary events in event `A`,

and

`bar(bar(Omega))` is the number of all elementary events in `Omega`

In the given task:

`bar(bar(Omega))=6xx6=36`

The event `A` is sum of 2 dice is 10, so:

`A={ (4;6),(5;5),(6;4)}`

`bar(bar(A))=3`

So finally:

`P(A)=3/36=1/12`