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Published bySherilyn Hensley Modified over 8 years ago

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Each time an experiment such as one toss of a coin, one roll of a dice, one spin on a spinner etc. is performed, the result is called an ___________. Theoretical Probability is a measure of what you ________ to occur. A _______________ for an experiment is the set of possible outcomes for that experiment. OUTCOME EXPECT SAMPLE SPACE

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Example 1: Create a sample space for the following situation: Mr. And Mrs. Sanderson are expecting triplets. Assume there is an equally likely chance that the Sandersons will have a boy or girl. Total Number of Outcomes:

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Theoretical Probability = Number of FAVORABLE outcomes in the sample space Number of TOTAL outcomes in the sample space Notation:The probability of a certain event occurring is notated by _____. Where P stands for _________ and E is the ______ occurring. probabilityevent

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Example 2 - Using the sample space above, if the couple has 3 children, what is the probability of having 2 boys and 1 girl? P( of 2 boys) = P( of 3 girls) = P( of 1 boys) = P( of 2 girls) =

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Example 3 - Out of 100 families with 3 children how many would you expect to have all girls? P( of 3 girls) =

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The above situation is an example of an ______________ event because the outcome of one event does not affect the probability of the other events occurring. Example 4 - Radcliff is playing a game where he spins the spinner below and tosses and coin right after. Create a sample space for all possible outcomes, and then answer the questions below. 12 43 INDEPENDENT

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Spinner Coin P(1)?P(Tails)? P(1 and Tails)?P(Even and Heads)?_______ P(5 and Tails)?P(Odd or Heads)?

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Mathematically- AND means we can MULTIPLY each individual probability. OR means we can ADD the probabilities. (But don’t count an event twice!) P(Even and Heads) = P(E) x P(H) =

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P(Odd or Heads) = P(O) + P(H) - P(O and H) = HW : Section 3.9pages 193-194 #’s 6-29

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Some probability events require the act of ____________ an item back before choosing another item. These events are called events _____________________. Other probability events require the act of _________________ an item before choosing another item. These events are called events ___________ _______________. REPLACING WITH REPLACEMENT NOT REPLACING WITHOUT REPLACEMENT

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Example 1 - Suppose a bag contains 12 marbles: 6 red (R), 4 Green (G), and 2 yellow (Y). Two marbles are randomly drawn. Use a grid to find the following probabilities:

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First marble returned (independent event) First marble not returned (dependent event) P(R, then R) P(R, then G) P(R, then Y) P(G, then R) P(G, then G) P(G, then Y)

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First marble returned (independent event) First marble not returned (dependent event) P(Y, then R) P(Y, then G) P(Y, then Y)

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CARDS A standard deck of playing cards consist of ___ cards. There are __ colors; RED and BLACK. ____ of each. There are __ suits; HEARTS, DIAMONDS, CLUBS, and SPADES. ____ of each. Each suit consist of the cards 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. __ of each.

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Example 2 - Suppose you are going to pull two cards from a standard deck of 52, one right after the other WITHOUT replacing the first card. Find the following probabilities: 1.) P(A red and then a black) = 2.) P(Spade and then a Heart) =

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3.) P(Jack and then an ACE) = 4.) P(2 Reds) = 5.) P(2 Kings) = HW : Section 3.9pages 193-194#’s 30-45

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