Answer:
(a) What is the probability that you roll a 6?
1/6
(b) What is the probability that you either roll a 6 or do not roll a 6?
1
(c) What is the probability that you don't roll a 6?
5/6
Step-by-step explanation:
(a) What is the probability that you roll a 6?
In a 6- sided cube, a 6 occurs only once. That is only one face is labelled 6. Therefore, the probability that you roll a 6 is;
(number of faces labelled 6)/(totals number of sides) = 1/6
(b) What is the probability that you either roll a 6 or do not roll a 6?
The probability of rolling a 6 was found to be, 1/6.
On the other hand, the probability of not rolling a 6 is;
(number of faces not labelled 6)/(totals number of sides) = 5/6
Therefore, the probability that you either roll a 6 or do not roll a 6 is;
1/6 + 5/6 = 1
These two events are mutually exclusive and exhaustive.
(c) What is the probability that you don't roll a 6?
The probability of not rolling a 6 is;
(number of faces not labelled 6)/(totals number of sides) = 5/6
We have 5 faces not labelled 6 out of 6 possible faces or outcomes
