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Published byLynne Poole Modified over 9 years ago

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9-8 COMPOUND EVENTS

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STUFF WE ALREADY KNOW… A number cube is rolled. P(3 or even number) = A day of the week is randomly selected. P(Tuesday or Thursday) = P(a day beginning with S or Wednesday) = P(A or B) = P(A) + P(B)

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COMPOUND EVENT Consists of more than one simple event Example: Flipping two coins Flipping a coin and rolling a die

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INDEPENDENT EVENTS The outcome of one event does NOT affect the outcome of another event

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FLIPPING A COIN & ROLLING A DIE List out all of the outcomes for the compound event: P(heads) = P(odd number) = P(heads and an odd number)=

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CONTINUED… List out all of the outcomes for the compound event: H1T1 H2T2 H3T3 H4T4 H5T5 H6T6 P(heads) = P(4) = P(heads and 4)=

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INDEPENDENT EVENTS P(A and B) = P(A) * P(B) Example! 2 boxes of popsicles… each with 6 grape, 6 cherry, 6 orange, and 6 lemon pops. What is the probability of selecting grape from the 1 st box and NOT grape from the 2 nd box?

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LET’S REVIEW! A number cube is rolled and a spinner is spun with A, B, C, and D. P(3 AND B) = P(odd number AND vowel)= P(1 or 4 AND C)

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DEPENDENT EVENTS The outcome of one event DOES affect the outcome of another event. You must be careful in finding each of your probabilities! But, you can still multiply!

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EXAMPLE! Fran selects 2 pieces of fruit from a basket with 8 oranges and 4 apples without replacing the first fruit. Find the probability that she selects two oranges.

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EXAMPLE! A deck of cards contains 3 hearts, 5 diamonds, 4 clubs, and 5 spades. P(hearts, followed by diamonds) = P(2 clubs) = P(diamond, followed by spade)=

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DISJOINT/MUTUALLY EXCLUSIVE EVENTS Cannot happen at the same time Example: You cannot get heads AND tails.

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