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by Trip Lenahan 2007-2008

What is Probability?. Probability is the likelihood of something happening.Probability is expressed as a fraction as the number of desired outcomes over the number of possible outcomes.. Probability. The highest probability of an event occurring is:1The lowest probability of an event occurring is:0.

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by Trip Lenahan 2007-2008

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    1. by Trip Lenahan 2007-2008

    2. What is Probability? Probability is the likelihood of something happening. Probability is expressed as a fraction as the number of desired outcomes over the number of possible outcomes.

    3. Probability The highest probability of an event occurring is: 1 The lowest probability of an event occurring is: 0

    4. Professions That Use Probability Insurance companies Professional card players Casino operators Athletes Sports Analysts Statistics keepers Secretaries Accountants Doctors

    5. Two-Step Procedure To determine probability, one may use this two-step procedure: 1. Determine and count all logical possibilities 2. Determine and count all desired possibilities or “winners”

    6. Probability Formula The Probability Formulas are as follows: p= number of winners total number of possibilities OR p= winning region total possible region

    7. Example of Probability #1 If there are 10 balls (7 red, 3 green) then the likelihood of selecting a red ball on one attempt is …. 7 red balls (winners) 10 total balls (total possibilities)

    8. Example of Probability #2 Problem: If one of the four points is picked randomly, what is the probability that the point lies on CA?

    9. Example of Probability #2 (cont) To solve this problem, we first list all possibilities A B C D Then, we circle the winners A B C D

    10. Example of Probability #2 Solution Therefore the probability of the selected point being on the angle is: Winners = 3 Possibilities 4

    11. Practice Problem #1 If one of the four angles is selected randomly, what is the probability that the angle is acute?

    12. Example of Probability #3 Problem: If two of the four points are picked at random, what is the probability that both lie on CA?

    13. Example of Probability #3 AB BC CD AC BD AD

    14. More Probability (pg 52 #10) If point B is chosen on AC, what is the probability that -5 < B < 7?

    15. Still more… (pg 52 #11) The second hand of a clock sweeps continuously around the face of the clock. What is the probability that at any random moment the second hand is between 7 and 12?

    16. Last one… (pg 52 #15) If a point is chosen at random in rectangle ABCD, what is the probability that: a. It is in square SQUA?

    17. Last one (really)… (pg 52 #15) If a point is chosen at random in rectangle ABCD, what is the probability that: b. It is not in square SQUA?

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