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Probability Concepts Review - Victim Categories & Household Dishwasher Ownership

Explore basic probability concepts including victim categories, household dishwasher ownership based on income levels, and coin toss outcomes. Calculate probabilities for events and combinations using addition, multiplication, and counting rules.

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Probability Concepts Review - Victim Categories & Household Dishwasher Ownership

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  1. Probability Review

  2. Basic Concepts How many victims were in the category (B or G’)? What is the probability that a randomly selected victim would have been at least 60 years old and have had a BAC level of at least .10?

  3. Addition Rules • For three mutually exclusive events: • P (A) = 0.3 • P (B) = 0.6 • P (C) = .01 What is the P (A or B or C)? What is the P (A or C)?

  4. Addition Rules What is P(A or D)? What is P(B or C or G)?

  5. Multiplication Rules A study by the US Energy Information Administration (2001) found that: • 85% of households w/ income of <$10,000 did not own a dishwasher • 20% of households w/ income of >$50,000 did not own a dishwasher If one household is randomly selected from each of the income groups, what is the probability: Neither household owns a dishwasher? Only the lower income household owns a dishwasher? Only the higher income household owns a dishwasher?

  6. Multiplication Rules A fair coin is tossed three times. What is the probability the outcome will be: Heads – Tails – Heads?

  7. Multiplication Rules • A machine has 16 working parts. • Each part has P(.99) of working for at least 3 years. • Parts fail independently, but if one part breaks, the machine stops working. What’s the probability the machine will work for at least 3 years?

  8. Counting Rules • Next week, 3 teachers will be absent from classes. There are 6 substitutes available to fill these 3 positions. How many different combinations are possible?

  9. Counting Rules • A sales representative has 35 customers in his territory and plans to visit 20 of them on his next trip. In how many different orders can he visit 20 customers?

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