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**Probability Overview**

Probability is the ratio of successful outcomes to the total number of outcomes. So, the probability of any event is the number of successful outcomes over the total number of outcomes. Probability is always a number between zero and one. Zero as a probability means that the event is impossible, which means it will not happen. One means that it's certain to happen. Probabilities help us understand commonly reported percentages, such as weather reports and election results. Now, let's that, for example,

it was reported that there's a 40% chance of rain this afternoon. What does that really mean? What that means is that 40% of the geographical area, so 40% of the geographical area contained in the TV viewership will be expected to receive rain.

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**Summary****Probability Real World Example**

For example, let's use rolling a die to find the probability of an event. The first thing we need to do is we need to find out what the sample space is for rolling a die. So, we have to determine what outcomes can we get when we do roll that die. So, the sample space will be the numbers one through six.

Now, let's say we want to find the probability of rolling an even. What we need to do is we need to find out the number of successful outcomes over the total number. So, what we'll do, is we'll find the number of successful outcomes by looking at our sample space, and we are going to identify the even numbers in our set. There are three successful outcomes.

There are six total outcomes in the data set, so our probability is three over six. Now, we could reduce that number or we can divide it out, and we get our probability of rolling an even on a die is point five. Now, what does that mean? What that means is that you should expect to roll an even number about half the time. Probability is simply the ratio of successful outcomes to the total number of outcomes.

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