## Math Help: Useful Formulas

Make sure to memorize these math formulas to help you advance faster with better understanding of your math material.

### Probability

The probability (P) of an event occurring is measured as a fraction (between 0 and 1) with 1 being 100% probability and 0 being 0%. Take the number of desired outcomes and divide by the number of possible outcomes. For example, if you want to know the probability of rolling a 3 on a six-sided di, it is 1 (because there is only one 3) over 6 (because there are 6 possibilities). To find the probability two, mutually exclusive events

*both* occurring, multiply their probabilities. If you want to know the probability of rolling a 3 and then a 4, you would multiply 1/6*1/6 for 1/36.

### Midpoint Formula

When you need to find the midpoint of a line, use this formula to determine the coordinates.

### Distance Formula

If you know your Pythagorean theorem

, this equation will be intuitive. To determine the distance between two points, you can make a right triangle from them. square each side and then take the square root of the sum to obtain the length of the hypotenuse.

### Cylinder Volume

The volume of a cylinder is the area of the circle that makes up its end times the height of the cylinder.

### Average Speed

To find the average speed, use the formula distance over time.

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