-NAPLAN TESTING -Intro to Probability

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Presentation transcript:

-NAPLAN TESTING -Intro to Probability TODAY -NAPLAN TESTING -Intro to Probability

Probability: Probability measures the likelihood of an event occurring.

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 0 0.25 0.5 0.75 1.0 ` Percentages Fractions

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

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.

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.

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

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.