For the roll of a pair of dice, the sums will be in a set from 2 (both dice give you a 1), the smallest sum possible, to 12 (both dice give you 6), the largest sum possible.
Common measures of central tendency include the mean, median, and mode.
The arithmetic mean is simply the average; the median is the middle value in a list of scores when the numbers are arranged from largest to smallest, or from smallest to largest; and the mode is the most frequently occurring value in a set of scores.
For example, a smaller circle may be inside a larger circle, and students may be asked to choose the probability that a point in within the area of the smaller circle.
The radius of each circle is given, so the student compares the areas.
When a distribution is normal, such as the overall scores of a large group of students on the SAT, the mean, median, and mode are all the same.
There may also be questions on the SAT regarding weighted averages, when groups do not have the same number, average of algebraic expressions, and using averages to find a particular value when one is missing.
If events are mutually exclusive, it means that neither sample space A or sample space B contain common elements.
Therefore, the probabilities can be added to form the probability of one event or the other occurring.
Probability is the measure of the likelihood of an event.
The basic mathematics of probability theory started with games of chance, but it can be applied to many situations, from weather forecasting to politics.