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12.4 probability of compound events
12.4 probability of compound events
12.4 probability of compound events
12.4 probability of compound events
12.4 probability of compound events
12.4 probability of compound events
12.4 probability of compound events
12.4 probability of compound events
12.4 probability of compound events
12.4 probability of compound events
12.4 probability of compound events
12.4 probability of compound events
12.4 probability of compound events
12.4 probability of compound events
12.4 probability of compound events
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12.4 probability of compound events

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  • 1.  The union or intersection of two events iscalled a compound event. Union of A and B: All outcomes foreither A or B Intersection of A and B: Only outcomes sharedby both A and B
  • 2.  If the intersection of A and B is empty, then Aand B are mutually exclusive events. This means, outcomes for events A and Bnever overlap.
  • 3.  P(A and B) = probability of outcomes that fallin the intersection P(A or B) = P(A) + P(B) – P(A and B) If A and B are mutually exclusive: P(A or B) = P(A) + P(B)
  • 4.  A card is randomly selected from a standard52-card deck. What is the probability that itis an ace or a face card?
  • 5.  You roll a six-sided die. What is theprobability of rolling a multiple of 3 or 5?
  • 6.  A card is randomly selected from a standarddeck. What is the probability it is a heart orface card?
  • 7.  You roll a six-sided die. What is theprobability of rolling a multiple of 3 or amultiple of 2?
  • 8.  Last year a company paid overtime or hiredtemporary help during 9 months. Overtimewas paid in 7 months and temps were hiredin 4. An auditor randomly selects a month tocheck the payroll records. What is theprobability that he selects a month when thecompany paid overtime and hired temps?
  • 9.  In a poll of high school juniors, 6 out of 15took German and 11 out of 15 took math.Fourteen out of 15 took German or math.What is the probability that a student tookboth German and math?
  • 10.  In a survey of 200 pet owners, 103 had dogs,88 had cats, 25 had birds, and 18 hadreptiles.1. Nobody had both a cat and bird. What isthe probability that they had a cat or bird?2. 52 owned both a cat and dog. What is theprobability of owning a cat or dog?3. 119 owned a dog or reptile. What is theprobability of owning a dog and reptile?
  • 11.  The complement of A includes all outcomesnot in A. Written A’. Read “A prime”. Probability of A’: P(A’) = 1- P(A)
  • 12.  A card is randomly selected from a standarddeck. Find the probability that: the card is not a king. The card is not an ace or jack.
  • 13.  Four houses in a neighborhood have thesame model of garage door opener. Eachhas 4096 possible codes. What is theprobability that at least two houses have thesame code?
  • 14.  Seven prizes are being given in a rafflecontest. 157 tickets are sold. After eachprize is called, the winning ticket goes backin the drawing. What is the probability that atleast one of the tickets is drawn twice?

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