Successfully reported this slideshow.
We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. You can change your ad preferences anytime.
Upcoming SlideShare
Loading in …5
×

# 107 Experimental Probability

845 views

Published on

Basic lesson on experimental probability

Published in: Education, Technology
• Full Name
Comment goes here.

Are you sure you want to Yes No
Your message goes here
• Be the first to comment

### 107 Experimental Probability

1. 1. EXPERIMENTAL PROBABILITY
2. 2. Essential Question: <ul><li>How do I find experimental probability? </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin
3. 3. Definition <ul><li>Probability </li></ul><ul><ul><li>The measure of the likelihood/chance that an event will happen.  </li></ul></ul><ul><ul><li>It is the ratio of the number of favorable outcomes to the number of possible outcomes.   </li></ul></ul>10/25/09 Algebra 1.1 Bitsy Griffin
4. 4. Formula <ul><li>P (event) =  number of favorable outcomes                      number of possible outcomes </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin
5. 5. Experiment 1 <ul><li>You have a six-sided die </li></ul><ul><li>What are the number of possible outcomes? (How many numbers are on the die?) </li></ul><ul><li>6 </li></ul><ul><li>That’s the bottom number </li></ul><ul><li>What is the probability that you will throw a 1? </li></ul><ul><li>There is only 1 </li></ul><ul><li>That’s the top number </li></ul><ul><li>P(1)=1/6 </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin
6. 6. Experiment 1 <ul><li>What is the probability you will throw a 2? </li></ul><ul><li>P(2)=1/6 </li></ul><ul><li>What is the probability you will throw an even number? </li></ul><ul><li>P(even)=3/6 </li></ul><ul><li>Reduce it to: </li></ul><ul><li>P(even)= 1/2 </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin
7. 7. Experiment 1 <ul><li>What is the probability you will throw a 2 or a 5? </li></ul><ul><li>P(2or5)= 2/6 </li></ul><ul><li>Reduce it to: </li></ul><ul><li>P(2or5)= 1/3 </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin
8. 8. Experiment 2 <ul><li>You have a standard deck of cards </li></ul><ul><li>What are the number of possible outcomes? </li></ul><ul><li>52 </li></ul><ul><li>That’s the bottom number </li></ul><ul><li>What is the probability that you will draw a black card? </li></ul><ul><li>26 </li></ul><ul><li>P(black card)= 26/52 </li></ul><ul><li>Reduce it: </li></ul><ul><li>P(black card)= 1/2 </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin
9. 9. Experiment 2 <ul><li>What is the probability that you will draw a heart? </li></ul><ul><li>P(heart)= 13/52 </li></ul><ul><li>Reduce it: </li></ul><ul><li>P(heart)= ¼ </li></ul><ul><li>What is the probability that you will draw a 4? </li></ul><ul><li>P(4)= 4/52 </li></ul><ul><li>Reduce it: </li></ul><ul><li>P(4)= 1/13 </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin
10. 10. Experiment 2 <ul><li>What is the probability that you will not draw a heart? </li></ul><ul><li>13(3)/52 => P(no heart)=39/52 </li></ul><ul><li>Reduce it: </li></ul><ul><li>P(no heart)= ¾ </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin
11. 11. Experiment 3 <ul><li>Nike is having a tennis shoe giveaway. If you are the first person chosen to win one of the above pair of shoes, what is the probability of winning each type? </li></ul><ul><li>P(A) = 5/20 = ? </li></ul><ul><li>P(B) = 8/20 = ? </li></ul><ul><li>P(C) = 7/20 = ? </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin A B C 5 8 7
12. 12. Essential Question: <ul><li>How do I find experimental probability? </li></ul>10/25/09 Algebra 1.1 Bitsy Griffin