dealing with data probability. what’s the probability? what’s the probability of the spinner...
TRANSCRIPT
![Page 1: Dealing with Data Probability. What’s the probability? What’s the probability of the spinner stopping in the yellow section. (All the sections are equal.)](https://reader034.vdocuments.us/reader034/viewer/2022051215/56649cba5503460f94981aea/html5/thumbnails/1.jpg)
Dealing with Data
Probability
![Page 2: Dealing with Data Probability. What’s the probability? What’s the probability of the spinner stopping in the yellow section. (All the sections are equal.)](https://reader034.vdocuments.us/reader034/viewer/2022051215/56649cba5503460f94981aea/html5/thumbnails/2.jpg)
What’s the probability? What’s the probability of the
spinner stopping in the yellow section. (All the sections are equal.) P(yellow) = ____
![Page 3: Dealing with Data Probability. What’s the probability? What’s the probability of the spinner stopping in the yellow section. (All the sections are equal.)](https://reader034.vdocuments.us/reader034/viewer/2022051215/56649cba5503460f94981aea/html5/thumbnails/3.jpg)
What’s the ProbabilityProbabilities: 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
![Page 4: Dealing with Data Probability. What’s the probability? What’s the probability of the spinner stopping in the yellow section. (All the sections are equal.)](https://reader034.vdocuments.us/reader034/viewer/2022051215/56649cba5503460f94981aea/html5/thumbnails/4.jpg)
What’s the probability? What’s the probability of the
spinner stopping at orange? P(orange) = ________
![Page 5: Dealing with Data Probability. What’s the probability? What’s the probability of the spinner stopping in the yellow section. (All the sections are equal.)](https://reader034.vdocuments.us/reader034/viewer/2022051215/56649cba5503460f94981aea/html5/thumbnails/5.jpg)
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!
![Page 6: Dealing with Data Probability. What’s the probability? What’s the probability of the spinner stopping in the yellow section. (All the sections are equal.)](https://reader034.vdocuments.us/reader034/viewer/2022051215/56649cba5503460f94981aea/html5/thumbnails/6.jpg)
What’s the probability? What’s the probability of the
spinner stopping at yellow, blue, red or green?
P(yellow,blue,red or green) = _____
![Page 7: Dealing with Data Probability. What’s the probability? What’s the probability of the spinner stopping in the yellow section. (All the sections are equal.)](https://reader034.vdocuments.us/reader034/viewer/2022051215/56649cba5503460f94981aea/html5/thumbnails/7.jpg)
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!
![Page 8: Dealing with Data Probability. What’s the probability? What’s the probability of the spinner stopping in the yellow section. (All the sections are equal.)](https://reader034.vdocuments.us/reader034/viewer/2022051215/56649cba5503460f94981aea/html5/thumbnails/8.jpg)
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?
![Page 9: Dealing with Data Probability. What’s the probability? What’s the probability of the spinner stopping in the yellow section. (All the sections are equal.)](https://reader034.vdocuments.us/reader034/viewer/2022051215/56649cba5503460f94981aea/html5/thumbnails/9.jpg)
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 complement MUST equal 1. The P(red) = ¼ therefore, the complement must be ¾ or the P(yellow, blue or green) = 3/4
![Page 10: Dealing with Data Probability. What’s the probability? What’s the probability of the spinner stopping in the yellow section. (All the sections are equal.)](https://reader034.vdocuments.us/reader034/viewer/2022051215/56649cba5503460f94981aea/html5/thumbnails/10.jpg)
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?
![Page 11: Dealing with Data Probability. What’s the probability? What’s the probability of the spinner stopping in the yellow section. (All the sections are equal.)](https://reader034.vdocuments.us/reader034/viewer/2022051215/56649cba5503460f94981aea/html5/thumbnails/11.jpg)
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
![Page 12: Dealing with Data Probability. What’s the probability? What’s the probability of the spinner stopping in the yellow section. (All the sections are equal.)](https://reader034.vdocuments.us/reader034/viewer/2022051215/56649cba5503460f94981aea/html5/thumbnails/12.jpg)
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) = ________
![Page 13: Dealing with Data Probability. What’s the probability? What’s the probability of the spinner stopping in the yellow section. (All the sections are equal.)](https://reader034.vdocuments.us/reader034/viewer/2022051215/56649cba5503460f94981aea/html5/thumbnails/13.jpg)
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
![Page 14: Dealing with Data Probability. What’s the probability? What’s the probability of the spinner stopping in the yellow section. (All the sections are equal.)](https://reader034.vdocuments.us/reader034/viewer/2022051215/56649cba5503460f94981aea/html5/thumbnails/14.jpg)
What’s the sample space?
When you throw a dice, what is the sample space?
![Page 15: Dealing with Data Probability. What’s the probability? What’s the probability of the spinner stopping in the yellow section. (All the sections are equal.)](https://reader034.vdocuments.us/reader034/viewer/2022051215/56649cba5503460f94981aea/html5/thumbnails/15.jpg)
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.
![Page 16: Dealing with Data Probability. What’s the probability? What’s the probability of the spinner stopping in the yellow section. (All the sections are equal.)](https://reader034.vdocuments.us/reader034/viewer/2022051215/56649cba5503460f94981aea/html5/thumbnails/16.jpg)
What’s the sample space?
When you throw a dice and toss a coin, what is the sample space?
![Page 17: Dealing with Data Probability. What’s the probability? What’s the probability of the spinner stopping in the yellow section. (All the sections are equal.)](https://reader034.vdocuments.us/reader034/viewer/2022051215/56649cba5503460f94981aea/html5/thumbnails/17.jpg)
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
![Page 18: Dealing with Data Probability. What’s the probability? What’s the probability of the spinner stopping in the yellow section. (All the sections are equal.)](https://reader034.vdocuments.us/reader034/viewer/2022051215/56649cba5503460f94981aea/html5/thumbnails/18.jpg)
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) = ______
![Page 19: Dealing with Data Probability. What’s the probability? What’s the probability of the spinner stopping in the yellow section. (All the sections are equal.)](https://reader034.vdocuments.us/reader034/viewer/2022051215/56649cba5503460f94981aea/html5/thumbnails/19.jpg)
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.
![Page 20: Dealing with Data Probability. What’s the probability? What’s the probability of the spinner stopping in the yellow section. (All the sections are equal.)](https://reader034.vdocuments.us/reader034/viewer/2022051215/56649cba5503460f94981aea/html5/thumbnails/20.jpg)
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?
![Page 21: Dealing with Data Probability. What’s the probability? What’s the probability of the spinner stopping in the yellow section. (All the sections are equal.)](https://reader034.vdocuments.us/reader034/viewer/2022051215/56649cba5503460f94981aea/html5/thumbnails/21.jpg)
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.