Learning IntentionLearning IntentionLong-Run Relative Long-Run Relative

FrequencyFrequency

Success CriteriaSuccess Criteria

Calculate probabilities from Long-Calculate probabilities from Long-run experiments and resultsrun experiments and results

Do Now – Recapping Theoretical Do Now – Recapping Theoretical probabilitiesprobabilities

When a die is tossed what is the probability that When a die is tossed what is the probability that the result is even?the result is even?A spinner is divided into 5 equal sectors A spinner is divided into 5 equal sectors numbered 1 to 5. What is P(3)? P(number numbered 1 to 5. What is P(3)? P(number greater than 1)?greater than 1)?A bag contains 6 blue marbles, 3 white and 4 A bag contains 6 blue marbles, 3 white and 4 green marbles. What is the probability of green marbles. What is the probability of choosing at random:choosing at random: A blue marble?A blue marble? A blue or green marble?A blue or green marble?

Long-run Relative FrequencyLong-run Relative Frequency

Not equally likely outcomesNot equally likely outcomesRepeat the situation a large number of times under the Repeat the situation a large number of times under the same circumstances.same circumstances.P(event) = P(event) = number of times event happensnumber of times event happens number of trialsnumber of trials

E.g. Describe how you wouldE.g. Describe how you woulddetermine the probability that adetermine the probability that acoin when tossed onto a squarecoin when tossed onto a squaregrid like this one will land completelygrid like this one will land completelyinside a square (not on a line).inside a square (not on a line).

You would draw up the grid and carry out theYou would draw up the grid and carry out theexperiment (at least 30 times).experiment (at least 30 times).Draw up a tally table and complete it.Draw up a tally table and complete it.