5.2 Probability

• Experiments involving equally likely outcomes
• Range of probability of an event
• Exclusive and independent events
• Tree diagram

• perform experiments involving equally likely outcomes in different situations
• determine the range of probability of an event
• identify mutually exclusive events in real-life situations
• perform experiments of single chance involving mutually exclusive events
• perform experiments involving independent events in different situations
• draw a tree diagram for a single outcome
• appreciate the probability of events occurring in real-life situations

“Why is probability important in real-life situations?”

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1. Experiments with equally likely outcomes
   40 min · 1 practice tasks · quiz
   When every outcome is as likely as the rest, probability is counting.
2. The range of probability
   40 min · 1 practice tasks · quiz
   Every probability lies between 0 and 1, and all the outcomes of one experiment add to 1.
3. Mutually exclusive events
   40 min · 1 practice tasks · quiz
   Events that cannot both happen have probabilities that simply add.
4. Independent events
   40 min · 1 practice tasks · quiz
   Events that do not affect each other have probabilities that multiply.
5. Tree diagrams
   40 min · 1 practice tasks · quiz
   A tree lays out every possible way an experiment can turn out, with the probability of each.
6. Probability in real life
   40 min · 1 practice tasks · quiz
   How people plan for what has not happened yet, and why betting games cannot be beaten.