Answer:
a) 1/6 b) 0.11
Explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome of event/Total outcome
If a two six-sided number cubes are rolled e.g 2dice, the total number of sample space is expressed as 6^n where n is 2(since only 2 six sided cubes are rolled)
Total outcome of event = 6² = 36
If sum of 7 are generated after rolling, the expected outcome will be:
E = {(1,6),(6,1),(2,5),(5,2),(3,4),(4,3)}
Note that each of the list will given a sum of 7
Total expected outcome = 6
Probability that a sum of 7 is rolled
= 6/36
= 1/6
b) Similarly, if a product of 12 is rolled, the expected outcome of event are:
E = {(2,6),(6,2),(3,4),(4,3)}
Expected outcome = 4
Note that the product of each outcome will give us 12.
Probability that a product of 12 is rolled = 4/36
= 1/9
= 0.11 (to nearest hundredth)