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7.7 Simple Probability

7.7 Simple Probability. Obj: to complete the probability of simple events. Probability of an (event) = # of favorable (better) outcomes. # of total outcomes. P = Favorable (what we like). Total. Ex. 1:. P. What is the probability of the spinner landing on the region <POR?. R. 0. Q.

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7.7 Simple Probability

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  1. 7.7 Simple Probability Obj: to complete the probability of simple events

  2. Probability of an (event) = # of favorable (better) outcomes # of total outcomes P = Favorable (what we like) Total

  3. Ex. 1: P What is the probability of the spinner landing on the region <POR? R 0 Q P ( <POR = 45 1 = 8 360 360 is full circle One out of every 8 spins you will land on the region POR

  4. Ex. 2: Given that < POQ is 180, what is P ( landing in < ROQ? P 180- 45=135 R 45º P( <ROQ = 135 = 3 0 360 8 Q

  5. Ex. 3: Favorable Total # of white dice = 11 # of white dice = 8 # of white dice = 5 5 P (green) P (yellow) P (red) P (green or white) P (white) P (green or red) 0 0 24 24 8 1 16 2 = = 24 3 3 24 11 13 24 24 As you increase the sample size your experimental probability gets better.

  6. Ex. 4: If you roll two dice what is the probability of a total greater than 8? Die # 2 Die # 1 1 2 3 4 5 6 P (total >8) = 10 5 1 2 3 4 5 6 • 3 4 5 6 7 • 4 5 6 7 8 • 5 6 7 8 9 • 6 7 8 9 10 • 7 8 9 10 11 • 7 8 9 10 11 12 36 18 10

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