Mark rolls 2 fair dice and adds the results from each.

Work out the probability of getting a total more than 5.

P (X > 5) = 72,2 %

Step-by-step explanation:

The probability of success (outcomes bigger than 5)

If dice 1 outcome is 6 no matter wich outcome we get from dice 2 all events are successful, the we have 6 outcomes

If dice 1 outcome is 5 we also have 6 outcomes

If dice 1 outcomes is 4 we have 5 positive outcomes

If dice 1 outcome is 3 we have 4 positive outcomes

If dice 1 outcome is 2 we have 3 positive outcomes

if dice 1 outcome is 1 we have 2 positive outcomes

Total evaluating dice 1: positive outcomes 26

We will get the sames results analysing dice 2 then we have a total of

52 successful events

And total numbers of outcomes is 36 + 36 = 72

Then

P (X > 5) = 52/72

P (X > 5) = 0,722

P (X > 5) = 72,2 %