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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
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.
Experime 
nt 
Snack 
s 
Drink 
s 
Sample 
space 
Cake 
Spaghett 
i 
Salad 
Choosin 
g 
a 
snack
Experime 
nt 
Sample 
space 
Choosin 
g 
a 
passwor 
d 
1ST 2ND 3RD 4TH 
5TH
Geometry 
- the branch of 
mathematics concerned 
with the properties and 
relations of points, lines, 
surfaces, solids, and 
higher dimensional
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
AB
RAY AB
Example: 
JK 
AB 
CD
A 
B 
C
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°.
Naming Angles 
Example: 
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
Fundamentals of counting & GEOMETRY
Fundamentals of counting & GEOMETRY
Fundamentals of counting & GEOMETRY

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Fundamentals of counting & GEOMETRY

  • 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
  • 4.
  • 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
  • 9.
  • 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
  • 12.
  • 15. A B C
  • 16.
  • 17.
  • 18.
  • 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°.
  • 20.
  • 21.
  • 22.
  • 23.
  • 24.
  • 25.
  • 26.
  • 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.
  • 29.