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Probability Powerpoint

Probability Powerpoint






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    Probability Powerpoint Probability Powerpoint Presentation Transcript

    • PROBABILITY! Notes Examples Sample Problems
    • Definition
      • Probability is the measure of how likely something will occur.
      • It is the ratio of desired outcomes to total outcomes.
        • (# desired) / (# total)
      • Probabilities of all outcomes sums to 1.
    • Example
      • If I roll a number cube, there are six total possibilities. (1,2,3,4,5,6)
      • Each possibility only has one outcome, so each has a PROBABILITY of 1/6.
      • For instance, the probability I roll a 2 is 1/6, since there is only a single 2 on the number cube.
    • Practice
      • If I flip a coin, what is the probability I get heads?
      • What is the probability I get tails?
      • Remember, to think of how many possibilities there are.
    • Answer
      • P(heads) = 1/2
      • P(tails) = 1/2
      • If you add these two up, you will get 1, which means the answers are probably right.
    • Two or more events
      • If there are two or more events, you need to consider if it is happening at the same time or one after the other.
    • “And”
      • If the two events are happening at the same time, you need to multiply the two probabilities together.
      • Usually, the questions use the word “and” when describing the outcomes.
    • “Or”
      • If the two events are happening one after the other, you need to add the two probabilities.
      • Usually, the questions use the word “or” when describing the outcomes.
    • Practice
      • If I roll a number cube and flip a coin:
      • What is the probability I will get a heads and a 6?
      • What is the probability I will get a tails or a 3?
    • Answers
      • P(heads and 6) = 1/2 x 1/6 =1/12
      • P(tails or a 5) = 1/2 + 1/6 = 8/12 = 2/3
    • Experimental Probability
      • An experimental probability is one that happens as the result of an experiment.
        • (# of outcomes) / (# of trials)
      • The probabilities we have done so far are “theoretical probabilities”, because there was no experiment.
    • Experiment
      • Flip a coin 50 times, and write down what happens for each flip.
      • In the end, find the experimental probabilities by writing the how many times heads and tails occurred over the total number of trials (flips)