The probability of any outcome is related to the total number of outcomes by a ratio of the number of outcomes in that event to the number of all possible outcomes of the event (the sample space).
Therefore, the probability that a coin will be heads is 1/2.
The sample space for tossing two fair dice and getting a sum of 7 consists of .
The sample space for tossing two fair dice and getting a sum of 11 consists of .
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.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.The probability that if one die is rolled, the number on top will be a 3 is 1/6.Sometimes, possible outcomes can be combined in such a way so that not all outcomes are equally likely.Suppose two fair coins are tossed: there are 4 possibilities in the sample space .The probability of each event when order is important equals 1/4 for each possibility.However, if the question is merely “How many heads come up when two coins are tossed?”, there are only 3 possibilities in the sample space, 0 heads, 1 head, or 2 heads.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.