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Probability of Simple and Compound Events

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  1. Topic 10 Probability

  2. 7.9.1 Probability of Simple Events

  3. 7.9.2 Theoretical and Experimental Probability • Theoretical probability is the expected probability of an event occurring. • (What is expected to happen.) • Experimental probability is found using frequencies obtained in an experiment or game. • (What actually happened.)

  4. 7.9.3 Probability of Compound Events • A tree diagram or table is used to show all of the possible outcomes, or sample space, in a probability experiment.

  5. 7.9.5 Fundamental Counting Principle

  6. 7.9.6 Permutations • A permutation is an arrangement, or listing, of objects in which order is important. You can use the Fundamental Counting Principle to find the number of possible arrangements.

  7. Example 2: Find P(5,4) • (The first number is the number you start with, the second number is the number of factors) 5 * 4 * 3 * 2 = 120

  8. 7.9.7 Independent and Dependent Events • Independent events: when one event does not affect the outcome of the other event. • For example: flipping a coin • The probability of two independent events can be found by multiplying the probability of the first event by the probability of the second event. • P(A and B) = P (A) * P (B)

  9. Dependent events: If the outcome of one event affects the outcome of another event. • For example: you have a bag with blue and green marbles. You pick one marble, do not replace it, and pick another marble. • If two events, A and B, are dependent, then the probability of both events occurring is the product of the probability of A and the probability of B after A occurs. • P(A and B) = P (A) * P (B following A)

  10. Are these independent or dependent events?

  11. Are these independent or dependent events?

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