Introduction to Grade 9 Probability topic

1. PROBABILI
TYGRADE 9

2. LESSON OBJECTIVES
BY THE END OF THE LESSON:
Define and identify favourable outcomes and sample space.
Calculate probability using the correct formula.

3. •How many sides does a
coin have? What are those
sides?

4. •What are the chances of
landing on a head when
tossing a coin?
•What are the chances of
landing on a tail when tossing a
coin?

5. •What are the chances
of landing on both
the head and the tail
when tossing this
coin?

6. PROBABILITY
•Probability is a mathematical concept that measures
the likelihood or chance of a specific event occurring.
It's expressed as a number between 0 and 1.
•It can also be expressed as a fraction, decimal, or
percentage.

7. DO YOU
KNOW
THIS
PERSON?

8. • If there is a low chance of an event happening, the probabilities will lie between 0 and 0,5.
• If there is an even or 50-50 chance of an event happening, the probability will be 0,5.
• If there is a high chance of an event happening, the probabilities will lie between 0,5 and 1.
• If there is no chance of an event happening, the probability will be 0.
• If the event certainly happens, the probability will be 1.
THE PROBABILITY SCALE

9. CALCULATING PROBABILITY
PROBABILITY is calculated using the formula
below:

10. SAMPLE SPACE
•The set of all possible outcomes in an experiment.
• Earlier, we said the coin had two sides, namely the
head and tail.
•That is what we refer to as the sample space.
•S = {Head, Tail} (this is how we write a set)

11. FAVOURABLE OUTCOMES
•A favourable outcome is an outcome of a random
experiment or event that satisfies a specific condition or
criterion of interest. It is one of the desired results that
you are tracking or trying to calculate the probability
for.

12. ACTIVITY: CARDS
DETERMINE THE PROBABILITY OF DRAWING, AT RANDOM:
(a) A card that has a club from the pack of cards.
(b) A card that has a diamond shape from the pack of cards.
(c) A red card from the pack of cards.
(d)A King from the pack of cards.

13. SUMMARY
• SAMPLE SPACE IS THE SET OF ALL
POSSIBLE OUTCOMES IN AN EXPERIMENT.
• A favourable outcome is an outcome of a random
experiment or event that satisfies a specific
condition or criterion of interest.
• Probability is a mathematical concept that
measures the likelihood or chance of a specific
event occurring. It's expressed as a number between
0 and 1.