# Top Ten Tips to Make Math Easy

## Tree Diagram is an organized list of all possible outcomes.

You can use the Counting principle to find a large number of outcomes.

Example:

You have 5 shirts, 4 pairs of pants and 2 pairs of shoes.

5 x 4 x 2 = 40 different outfits

## 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."

## The probability of Dustin getting a hit when he comes to bat is 70%.

How many hits should he expect to get if he comes to bat 700 times?

70% means 70/100 or 7/10 so 7/10 x 700/1 = 4900/10 = 490 times

## 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 =

## 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