do now 3/16/11 take out hw from monday. take out hw from monday. “what’s in your bedroom?”...
TRANSCRIPT
Do Now 3/16/11Do Now 3/16/11
Take out HW from Monday.Take out HW from Monday. ““What’s in Your Bedroom?” activityWhat’s in Your Bedroom?” activity
Copy HW in your planner.Copy HW in your planner.Textbook page 309, #7-11 all, 17 & 18Textbook page 309, #7-11 all, 17 & 18
Objective
SWBAT find the probability of an event.
Experimental probability-Experimental probability-performing an experiment and testing performing an experiment and testing data. data.
Section 6.7 “Probability and Odds”Section 6.7 “Probability and Odds”
Theoretical probability-Theoretical probability-mathematically tells you how likely it is mathematically tells you how likely it is that an event will happen.that an event will happen.
Outcome Outcome
Event Event an outcome or collection of outcomesan outcome or collection of outcomes
the possible results of an experimentthe possible results of an experiment
““Odds”Odds”
Odds Odds the ratio of the number of outcomes to outcomes.the ratio of the number of outcomes to outcomes.
Odds in favor = # of favorable outcomes : # of unfavorable outcomes
Odds against = # of unfavorable outcomes : # of favorable outcomes
MATHEMATICALMATHEMATICALEach letter of the word above is written on a separate piece of paper and placed in a hat. A letter is chosen at random from the hat.
What are the odds in favor of choosing a consonant?
What are the odds against choosing a ‘M, A, T, or H’?
7 : 5
4 : 8 1 : 2
“Experimental Probability”
Draw the following circle chart on your paper. Shade in the blue areas on your chart with your pencil.
Using your pencil and a paperclipspin your spinner 8 times. Record the number of times where the spinner stopped.
Do your experimental outcomes match the theoretical outcomes?
Why or why not?
“Probability of an Event”
outcomesofTotal
outcomesfavorableofP
#
#
“Theoretical Probability”
A probability is always written as a ratio or fraction
8
5
Total number of regions
Number of REDRED regions
How many are RED? How many are RED? How many denominations isHow many denominations isthe whole broken up into? the whole broken up into?
What is the probability (your chances) What is the probability (your chances) of landing the spinner on a RED region? of landing the spinner on a RED region? How about a BLUE region? How about a BLUE region?
The probability of something occurring is The probability of something occurring is alwaysalways between 0 and 1. between 0 and 1.
““Interpreting Probabilities”Interpreting Probabilities”
00 110.50.5ImpossibleImpossible Certain to Certain to
occuroccur
Unlikely Unlikely to occurto occur
Likely Likely to occurto occur
0.250.25 0.750.75Occurs ½ Occurs ½ the timethe time
Suppose you are rolling a two 6-sided number cubes and Suppose you are rolling a two 6-sided number cubes and finding the sum of the rolls. finding the sum of the rolls.
What is the probability that you What is the probability that you will roll a 7?will roll a 7?
What is the probability that you will What is the probability that you will roll a prime number? a composite roll a prime number? a composite number?number?
11 22 33 44 55 66
11 22 33 44 55 66 77
22 33 44 55 66 77 88
33 44 55 66 77 88 99
44 55 66 77 88 99 1010
55 66 77 88 99 1010 1111
66 77 88 99 1010 1111 1212
outcomesofTotal
outcomesfavorableofP
#
#
6
1
36
6P
outcomesofTotal
outcomesfavorableofP
#
#
12
5
36
15P
outcomesofTotal
outcomesfavorableofP
#
#
12
7
36
21P
“Roll the Dice”
NJASK7 Prep
Homework
Textbook page 309, #7-11 ALL and 17 & 18
11 22 3 4 5 6 77 8 9 10
11 22 33 4 5 6 7 88 99 10 11
22 33 44 5 6 7 8 9 10 11 12
3 4 5 6 7 8 9 10 11 12 13
4 5 6 7 8 9 10 11 12 13 14
5 6 7 8 9 10 11 12 13 14 15
6 7 8 9 10 11 12 13 14 15 16
7 88 9 10 11 12 13 14 15 16 17
8 9 10 11 12 13 14 15 16 17 18
9 10 11 12 13 14 15 16 17 18 19
10 11 12 13 14 15 16 17 18 19 20