1. -NAPLAN TESTING -Intro to Probability
TODAY
-NAPLAN TESTING
-Intro to Probability

2. Probability:
Probability measures the likelihood of an event occurring.

3. Probability Spectrum Decimals 0 0.25 0.5 0.75 1.0 ` Percentages
Certain
(possible)
Likely
Even Chance
(fair)
Unlikely
Impossible
The range of probability of an event occurring ranges from 0 – 1.
Decimals `
Percentages
Fractions

4. Probability as a Fraction
Probability = Number of favourable outcomes
Number of possible outcomes
The probability of getting a head in a coin toss = 1 2
Number of favourable outcomes
Number of possible outcomes

5. Theoretical Probability
Theoretical probability looks at what would be the most likely outcome of an event.
For example:
If I toss a coin 10 times, theoretically I should get 5 heads and 5 tails.
If I roll a dice 6 time, theoretically I should get a 1, then a 2, then a 3, then a 4, then a 5, then a 6.

6. Experimental Probability
Experimental probability is the probability outcome that results from an experiment or you actually testing a probability idea.
For example:
If I toss a coin 10 time, the theoretical probability is that I will get 5 heads and 5 tails.
When trying this out, if I get 7 heads and 3 tails.
Despite the theoretical probability of 5 heads and five tails, my experimental probability differed with 7 heads and 3 tails.

7. Theoretical Probability vs Experimental Probability
Theoretical probability is the most likely outcome, while experimental probability is the actual outcome we achieve...

8. EVENT AND OUTCOMES: Event: The outcome of doing something.
For instance, the set of outcomes {2, 4, 6} when rolling a die is an event that one might call "rolling an even number".
Outcomes: The possible results of an event.
For example, when a die is rolled, the possible outcomes are 1 , 2 , 3 , 4 , 5 , and 6.