Question

What is the most probable outcome for the sum of values when two dice are rolled? What is the probability of getting this outcome? [3 MARKS]

Answer 1

Sample set: 1 Mark
Calculation: 1 Mark
Result: 1 Mark

When two dices are rolled the possible outcomes are:
$(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)$
From the above sample space, it can be observed that the most probable outcome is a sum of 7.
There are six combinations of values that will give a sum of 7, out of the 36 possible combinations.
Thus, the probability
$=\frac{6}{36}=\frac{1}{6}$.