TACHS Math : Probability
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Example Questions
Example Question #1 : Probability Of Compound Events
When rolling a fair six-sided die and flipping a fair coin, what is the probability of rolling either a 
Recall what a probability is:
Start by finding the probability of rolling either 
Next, find the probability of getting heads on a coin flip. Since we only want heads and there are only 
Since the question wants the probability of both events occurring, you must multiply the probabilities together.
Example Question #1 : Probability Of Simple Events
What is the probability of rolling a one on a fair die?
Cannot be determined
In order to solve this problem, we need to discuss probabilities. A probability is generally defined as the chances or likelihood of an event occurring. It is calculated by identifying two components: the event and the sample space. The event is defined as the favorable outcome or success that we wish to observe. On the other hand, the sample space is defined as the set of all possible outcomes for the event. Mathematically we calculate probabilities by dividing the event by the sample space:
Let's use a simple example: the rolling of a die. We want to know the probability of rolling a one. We know that the sample space is six because there are six sides or outcomes to the die. Also, we know that there is only a single side with a value of one; therefore,
Now, let's convert this into a percentage:
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