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AFM 13.3 Probability and Odds
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When we are uncertain about the occurrence of an event, we can measure the chances of it happening with PROBABILITY
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If an event can succeed in s ways and fail in f ways, then the probability of success is
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A box contains 3 tennis balls, 7 softballs, and 11 baseballs. One ball is chosen at random. P(softball) P(not a baseball) P(golf ball)
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One flower is randomly taken from a vase containing 5 red flowers, 2 white flowers, and 3 yellow flowers. P(red flower) P(not yellow) P(red or yellow)
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Sum of numbers on dice
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Find the probability P(sum of 5) P(sum of 7) P(sum of 13) P(sum of 12)
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Standard deck of cards
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How many Red cards ? Black cards ?26 Hearts ? Diamonds ? Spades ? Clubs ? 13131313 Face cards ? 12
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Use standard deck of cards P(red card) P(heart card) P(face card) P(red queen )
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Counting methods used for combinations can be used in determining probability Use combinations to find how many ways it can possibly happen when selecting more than one at a time C(n,r) is n objects taken r at a time
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Bob has 10 rap, 18 rock, 8 country, and 4 pop CDs in his music collection. Two are selected at random… P(2 pop) P(2 country) P(1 rap and 1 rock)
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12 male and 16 female students have been selected as equal qualifiers for 6 college scholarships. If the awarded recipients are to be chosen at random: What is the probability that 3 will be male and 3 will be female?
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ODDS The odds of the successful outcome of an event is the ratio of the probability of its success to the probability of its failure. Odds=
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Find the odds A local weather forecast states that the probability of rain on Saturday is 80%. What are the odds that it will rain on Saturday? What are the odds that it will not rain on Saturday?
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Of 7 kittens in a litter, 4 have stripes. 3 kittens are picked at random. Find odds of: All 3 have stripes P(s)= odds= Only 1 has stripes P(s)= odds= One is not striped P(s)=odds= If one is not striped, then 2 will be…
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More finding odds Of 27 students in a class, 11 have blue eyes, 13 have brown eyes, and 3 have green eyes. If 3 students are chosen at random, what are the odds: All 3 have blue eyes P(S)=odds are 2 brown and 1 blue P(s)= odds are
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