Dealing with Data

1. Dealing with Data Probability

2. What’s the probability? • What’s the probability of the spinner stopping in the yellow section. (All the sections are equal.) P(yellow) = ____

3. What’s the Probability Probabilities:  • P(yellow)  =  number of ways to land on yellow  =  1 total number of colors   4  • P(blue)  =  number of ways to land on blue  =  1 total number of colors   4    • P(green)  =  number of ways to land on green  =  1 total number of colors   4  •  P(red)  =  number of ways to land on red  =  1 total number of colors   4 

4. What’s the probability? • What’s the probability of the spinner stopping at orange? P(orange) = ________

5. What’s the probability? • What’s the probability of the spinner stopping at orange? P(orange) = 0 = 0 4 • This is also called an IMPOSSIBILITY!

6. What’s the probability? • What’s the probability of the spinner stopping at yellow, blue, red or green? P(yellow,blue,red or green) = _____

7. What’s the probability? • What’s the probability of the spinner stopping at yellow, blue, red or green?P(yellow, blue, red or green) = 4 = 1 4 • This is called a CERTAINTY!

8. What’s the Probability? • The spinner stops on red. The probability of red is ¼ P(red) = ¼ • What is the complement of the probability of red?

9. What’s the Probability? • The spinner stops on red. The probability of red is ¼ P(red) = ¼ • What is the complement of the probability of red? • Together the event and the complementMUST equal 1. The P(red) = ¼ therefore, the complement must be ¾ or the P(yellow, blue or green) = 3/4

10. What’s the probability? • A glass jar contains 6 red, 5 green, 8 blue and 3 yellow marbles. If a single marble is chosen at random from the jar, what is the probability of choosing a red marble? a green marble? a blue marble? a yellow marble?

11. What’s the probability? • A glass jar contains 6 red, 5 green, 8 blue and 3 yellow marbles. If a single marble is chosen at random from the jar, what is the probability of choosing a red marble? P(red) = 6/22 or 3/11 • A green marble? P(green) = 5/22 • A blue marble? P(blue) = 8/22 or 4/11 • A yellow marble? P(yellow) = 3/22

12. What’s the probability? • A glass jar contains 6 red, 5 green, 8 blue and 3 yellow marbles. What’s the probability of getting a red OR a green marble? P(red or green) = ________

13. What’s the probability? • A glass jar contains 6 red, 5 green, 8 blue and 3 yellow marbles. What’s the probability of getting a red OR a green marble? P(red or green) = 11/22 or 1/2

14. What’s the sample space? • When you throw a dice, what is the sample space?

15. What’s the sample space? • When you throw a dice, what is the sample space? • Sample space is all the possible options so the sample space for throwing a die is 1, 2, 3, 4, 5 or 6.

16. What’s the sample space? • When you throw a dice and toss a coin, what is the sample space?

17. What’s the sample space? • When you throw a dice and toss a coin, what is the sample space? • (head,1), (head,2), (head,3), (head,4), (head,5), (head,6) (tail,1), (tail,2), (tail,3), (tail,4), (tail,5), (tail,6) 12 outcomes in the sample space

18. What’s the sample space? • You throw a die and toss a coin. What’s the probability of getting a head and a 6? • P(head and 6) = ______

19. What’s the compound probability? • You throw a die and toss a coin. What’s the probability of getting a head and a 6? • (head,1), (head,2), (head,3), (head,4), (head,5), (head,6) (tail,1), (tail,2), (tail,3), (tail,4), (tail,5), (tail,6) Only 1 chance in 12 to get a head and 6 so the probability is 1/12.

20. What’s the sample space? • Besides listing all of the items, what’s another way to determine how many items are in the sample space?

21. What’s the sample space? • Besides listing all of the items, what’s another way to determine how many items are in the sample space? 2 outcomes on coin toss. 6 outcomes on die. 2 x 6 = 12 outcomes in sample space.