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: What is the probability of the spinner landing on the region <POR? P R Q 0 P ( <POR = 45  1 = 360  8 360 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? 45º 0 P R Q P( <ROQ = 135 = 3 180  - 45  =135  3608

5. Ex. 3: # of white dice = 11 # of white dice = 8 # of white dice = 5 P (green) P (yellow) P (red) P (green or white) P (white) P (green or red) 5 24 8 11 0 16 13 24 == 1 0 2 33 Favorable Total 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? 1 2 3 4 5 61 123456123456 2 3 4 5 6 7 3 4 5 6 7 8 4 5 6 7 8 9 5 6 7 8 9 10 6 7 8 9 10 11 7 8 9 10 11 12 #Die Die # 2 10 P (total >8) = 10 5 3618