Fundamentals of counting & GEOMETRY

Probability-the measure of how likely an event is

to happen.Experiment

-an activity with observable results.Outcomes

- the result of an experimentSample space

- the result of all possible outcomes of the experiment.Event

- the subset of the sample space

Coin

Die/dice

TREE DIAGRAM

Make a tree diagram of the following:

A.) Find the probability of choosing your snacks( cake, spaghetti, salad ) and drinks ( tea, coffee, juice, milk, water.) B.) Find the probability of having a four-letter password using the vowels of the alphabets only.

Experiment

Snacks

Drinks

Sample space

Cake

Spaghetti

Salad

Choosing a snack

Experiment

Sample space

Choosing apassword

1ST 2ND 3RD 4TH 5TH

Geometry- the branch of mathematics concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs.

LINE -  is straight (no curves),has no thickness, and extends in both directions without end.LINE SEGMENT -  is a straight line which joins two points but does not extend beyond them.RAY - is a line that has one end point and the other end continues on.

AB

RAY AB

Example:

JK

AB

CD

A

B

C

KINDS OF ANGLE1.ACUTE ANGLE – An angle

that measures more than 0° and less than 90°.

2.OBTUSE ANGLE – Any angle greater than 90° and smaller than 180°.

3.RIGHT ANGLE – is an angle that has a measure exactly 90°.

Naming AnglesExample: Names

:<WET<1<TEW

Parallel Lines stay the same distance apart and never touch. Perpendicular Lines are lines that meet or cross and form right angles. Intersecting Lines meet or cross each other.

NAMES and SYMBOLS