This document provides an overview of key concepts in probability and geometry. It defines probability as the measure of how likely an event is to occur. Experiments have observable outcomes and a sample space of all possible results. Tree diagrams can be used to display the sample space and probabilities of events like choosing a snack and drink or creating a password. The document also outlines basic geometric concepts like lines, line segments, rays, angles and their classifications. It defines parallel and perpendicular lines and how intersecting lines relate.

1. Probability
-the measure of how likely an event is to
happen.
Experiment
-an activity with observable results.
Outcomes
- the result of an experiment
Sample space
- the result of all possible outcomes of the
experiment.
Event
- the subset of the sample space

2. Coin
Die/dice

3. TREE DIAGRAM

5. 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.

6. Experime
nt
Snack
s
Drink
s
Sample
space
Cake
Spaghett
i
Salad
Choosin
g
a
snack

7. Experime
nt
Sample
space
Choosin
g
a
passwor
d
1ST 2ND 3RD 4TH
5TH

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

10. 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

11. AB

13. RAY AB

14. Example:
JK
AB
CD

15. A
B
C

19. KINDS OF ANGLE
1.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°.

27. Naming Angles
Example:
Names:
<WET
<1
<TEW

28. 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.

30. NAMES and SYMBOLS