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Section 11.3 – Probability of Multiple Events
Objective: Find the probability of multiple events.
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Essential Understanding
Independent Events The occurrence of one event doesn’t affect the other. Dependent Events The occurrence of one event affects the other.
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Ex. 1 – Classifying Events
Roll a number cube. Then spin a spinner Pick one flash card, then another from a stack of 30 flash cards.
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Key Concept Probability of A and B
If A and B are independent events, then:
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Ex. 2 – At a picnic there are 10 diet drinks and 5 regular drinks
Ex. 2 – At a picnic there are 10 diet drinks and 5 regular drinks. There are also 8 bags of fat-free chips and 12 bags of regular chips. If you grab a drink and a bag of chips without looking, what is the probability that you get a diet drink and fat-free chips?
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Key Concept Mutually Exclusive
Two events that cannot happen at the same time.
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Ex. 3 – Mutually Exclusive Events
You roll a number cube. Are the events mutually exclusive? Explain. Rolling a 2 and a 3 Rolling an even number and a multiple of 3
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Key Concept Probability of A or B
Probability of A or B when mutually exclusive
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Ex. 4 – Probability of Mutually Exclusive Events
At a high school, a student can take one foreign language each term. About 37% of the students take Spanish and about 15% take French. What is the probability that a student chosen at random is taking Spanish or French?
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Ex. 5 – Finding Probability
You choose a token at random from the dish. What is the probability that the token is round or green?
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HMW p , 17, 34, 41, 45, 48, 50, 60, 43, 44
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