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Probability

Probability. Probability theory is the science of uncertainty. Definitions:. Experiment: an activity that its results can be observed and recorded like tossing a coin. Outcome : A particular result of an experiment.

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Probability

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  1. Probability Probability theory is the science of uncertainty

  2. Definitions: • Experiment: an activity that its results can be observed and recorded like tossing a coin. • Outcome: A particular result of an experiment. • Sample Space (S): The set of all possible outcomes of an experiment. • Event: Is a subset of the sample space

  3. What is the sample space for the following if the event occur one time

  4. The probability could be expressed as a fraction, decimal or presentage.

  5. If you toss a fair coin. The sample space S is ……………… n(S)= …………………. Find the probability of : Event A of having a front Event B of having a back

  6. If a single die is rolled, there are six equally likely outcomes: S = {…………………….………..} and n(S) = ……. Find the probability of the following events: • a score greater than 2 • a score less than or equal to 3 • An even number • A multiple of 3 • A number greater than 10

  7. Probability Rules • 0 ≤ P(A) ≤ 1 Which of the following is considered a probability value? 1.2 60% 7/3 1/5 125% -0.35 100% 0% 0.65% 5.9

  8. Complement Events • If A is an event and A is its complement, then • P(A) + P(A) = 1 • P(A) = 1 – P(A) or P(A) = 1 – P(A)

  9. If the probability Noha travels is ¾ what it the probability she does not? b) If the probability Asma wins is 0.99, what is the probability she lose? c) If the probability my team will win the next game is 67%, what is the probability they lose?

  10. A jar contains 5 blue balls and 3 yellow balls. A ball was taken from the jar. What is the probability that: • The ball is blue. • The ball is yellow. • The ball is not yellow. • The ball is red. • The ball is yellow or blue.

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