If you roll two fair six-sided dice, what is the probability that the sum is 4 or higher?

Solution:

Let ‘x’ be the number on the first dice.

‘Y’ be the number on second dice.

We have to find the probability that the sum is 4 or higher

i.e. (x + y) >= 4

Total number of possible results from two six-sided dice = 6 × 6

= 36.

The possible results that the sum is lower than 4 is:

(1,1) (1,2) and (2,1).

The probability that the sum is lower than 4 = 3/36

= 1/12.

The probability that the sum is 4 or higher = 1 - (1/12)

= 11/12

Therefore, the probability that the sum is 4 or higher is 11/12.

---

If you roll two fair six-sided dice, what is the probability that the sum is 4 or higher?

Summary:

If you roll two fair six-sided dice, the probability that the sum is 4 or higher is 11/12.