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12.5 prob. of independent and dependent events

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12.5 prob. of independent and dependent events

1. 1.  Events are independent if one has no effecton the other. For example: tossing a coin twice If A and B are independent:P(A and B) = P(A) ∙ P(B)
2. 2.  A game machine claims that 1 in every 15people win. What is the probability that youwin twice in a row?
3. 3.  In a survey 9 out of 11 men and 4 out of 7women said they were satisfied with aproduct. If the next three customers are 2women and a man, what is the probabilitythey will all be satisfied?
4. 4.  A bag contains 3 red marbles, 7 whitemarbles, and 5 blue marbles. You draw 3marbles, replacing each one before drawingthe next. What is the probability of drawinga red, then a blue, and then a white marble?
5. 5.  You collect hockey trading cards. For oneteam there are 25 different cards in the set,and you have all but the goalie. To try to getthis card, you buy 8 packs of 5 cards each.All cards in a pack are different and equallylikely. Find the probability that you get atleast one goalie card.
6. 6.  Events are dependent if one affects the other. The probability that B will occur given that Ahas occurred is the conditional probability ofB given A. Written P(B|A) If A and B are dependent:P(A and B) = P(A) ∙ P(B|A)
7. 7.  Find the probability that: a listed animal is a reptile. an endangered animal is a reptile.Mammals Birds Reptiles Amphibians OtherEndangered 59 75 14 9 198Threatened 8 15 21 7 69
8. 8.  You randomly select two cards from astandard deck. What is the probability thatthe first card is not a face card and the secondcard is a face card if: You replace the first card before selecting thesecond? You do not replace it?
9. 9.  You and two friends go to a restaurant andorder sandwiches. The menu has 10 typesof sandwiches and you are all equally likelyto order any type. What is the probabilitythat you each order a different type?
10. 10.  A family of 4 is each choosing 1 of 8possible vacations. What is the probabilitythat each chooses a different vacation?