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MDM4UI Unit 3 - Lesson 3

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Odds commonly used in sports another way to express a level of confidence odds in favour of event A occurring is: P(A) P(A’)

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Show that is the same as.

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The odds against event A occurring is: P(A’) P(A)

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EXAMPLE 1: A messy drawer contains 3 red socks, 5 white socks, and 4 black socks. What are the odds in favour of randomly drawing a red sock?

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EXAMPLE 2: If the chance of a snowstorm in Windsor, Ontario, in January is estimated at 0.4, what are the odds against Windsor’s having a snowstorm next January? Is a January snowstorm more likely than not?

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SOLUTION

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EXAMPLE 3: A university professor, in an effort to promote good attendance habits, states that the odds of passing her course are 8 to 1 when a student misses fewer than five classes. What is the probability that a student with good attendance will pass?

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SOLUTION

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In general, it can be shown that if the odds in favour of A is: then

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Homework for this lesson p. 318 # 1 – 4, 8, 10, 12.

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