# Top Ten Tips to Make Math Easy

### Probability

## Probability

## Experimental Probability

## What is the probability of spinning and landing on orange? There is one orange and 5 colors so 1/5 chances of landing on orange. | ## What is the probability of tossing an even number? There are 3 even numbers on a dice (2, 4, 6). There are 6 outcomes on a dice (1, 2, 3, 4, 5, 6). The probability would be 3/6 or 1/2. | ## What is the probability of landing on heads? There are 2 outcomes (heads and tails). You have one head so 1/2. |

## What is the probability of spinning and landing on orange?

There is one orange and 5 colors so 1/5 chances of landing on orange.

## What is the probability of tossing an even number?

There are 3 even numbers on a dice (2, 4, 6).

There are 6 outcomes on a dice (1, 2, 3, 4, 5, 6).

The probability would be 3/6 or 1/2.

## Complement of an Event

There are 1/6 chances of tossing a dice and the dice lands on 5.

What is the probability of "not landing on a 5" ? 5/6

The event "**not** landing on 5" is the **complement** of the event " landing on 5."

## Making Predictions from Data

## TCAH has 2,000 6th graders. A random survey showed 50 of 250 6th graders went on the Financial Literacy field trip at Sam Houston University.

Predict the number of 6th graders out of the 2,000 students that would go on the field trip.

**Scale factor method:**

__ 50__ = __X__

250 2000 .............2000/250=8

so 50 x 8 = 400 students

**Butterfly method:**

50 x 2000 / 250 =

## Independent Events

## What is the probability of tossing a dice and getting a number < 4 and then tossing again and getting a 6? Which is written as P(<4,6)

There are 6 outcomes.

3/6 or 1/2 chances of getting a number <4 (1, 2 and 3) and 1/6 chances of getting a 6 so

1/2 x 1/6 = 1/12