8-5: adding probabilities english casbarro unit 8
TRANSCRIPT
![Page 1: 8-5: Adding Probabilities English Casbarro Unit 8](https://reader036.vdocuments.us/reader036/viewer/2022062718/56649e7b5503460f94b7bc50/html5/thumbnails/1.jpg)
8-5: Adding Probabilities8-5: Adding Probabilities8-5: Adding Probabilities8-5: Adding Probabilities
English CasbarroEnglish CasbarroUnit 8Unit 8
![Page 2: 8-5: Adding Probabilities English Casbarro Unit 8](https://reader036.vdocuments.us/reader036/viewer/2022062718/56649e7b5503460f94b7bc50/html5/thumbnails/2.jpg)
Vocabulary Simple event- an event that can not be
broken down into smaller units (rolling a 2) Compound Event- an event made up of
several simple events (rolling an odd number or a number greater
than 5) Mutually Exclusive Events- events that
cannot occur at the same time (rolling a 2 or a 5)
![Page 3: 8-5: Adding Probabilities English Casbarro Unit 8](https://reader036.vdocuments.us/reader036/viewer/2022062718/56649e7b5503460f94b7bc50/html5/thumbnails/3.jpg)
![Page 4: 8-5: Adding Probabilities English Casbarro Unit 8](https://reader036.vdocuments.us/reader036/viewer/2022062718/56649e7b5503460f94b7bc50/html5/thumbnails/4.jpg)
![Page 5: 8-5: Adding Probabilities English Casbarro Unit 8](https://reader036.vdocuments.us/reader036/viewer/2022062718/56649e7b5503460f94b7bc50/html5/thumbnails/5.jpg)
![Page 6: 8-5: Adding Probabilities English Casbarro Unit 8](https://reader036.vdocuments.us/reader036/viewer/2022062718/56649e7b5503460f94b7bc50/html5/thumbnails/6.jpg)
![Page 7: 8-5: Adding Probabilities English Casbarro Unit 8](https://reader036.vdocuments.us/reader036/viewer/2022062718/56649e7b5503460f94b7bc50/html5/thumbnails/7.jpg)
![Page 8: 8-5: Adding Probabilities English Casbarro Unit 8](https://reader036.vdocuments.us/reader036/viewer/2022062718/56649e7b5503460f94b7bc50/html5/thumbnails/8.jpg)
![Page 9: 8-5: Adding Probabilities English Casbarro Unit 8](https://reader036.vdocuments.us/reader036/viewer/2022062718/56649e7b5503460f94b7bc50/html5/thumbnails/9.jpg)
Inclusive Events If it is possible for both situations to occur at the same
time, the events are called inclusive.
For example, it is possible to draw a king or a spade, but it’s also possible that the king IS the spade.
![Page 10: 8-5: Adding Probabilities English Casbarro Unit 8](https://reader036.vdocuments.us/reader036/viewer/2022062718/56649e7b5503460f94b7bc50/html5/thumbnails/10.jpg)
![Page 11: 8-5: Adding Probabilities English Casbarro Unit 8](https://reader036.vdocuments.us/reader036/viewer/2022062718/56649e7b5503460f94b7bc50/html5/thumbnails/11.jpg)
![Page 12: 8-5: Adding Probabilities English Casbarro Unit 8](https://reader036.vdocuments.us/reader036/viewer/2022062718/56649e7b5503460f94b7bc50/html5/thumbnails/12.jpg)
![Page 13: 8-5: Adding Probabilities English Casbarro Unit 8](https://reader036.vdocuments.us/reader036/viewer/2022062718/56649e7b5503460f94b7bc50/html5/thumbnails/13.jpg)
Conditional Probability
This exists where there are dependent events.
Notation: P(B|A) In words: the probability of B, given
that A has happened.
![Page 14: 8-5: Adding Probabilities English Casbarro Unit 8](https://reader036.vdocuments.us/reader036/viewer/2022062718/56649e7b5503460f94b7bc50/html5/thumbnails/14.jpg)
![Page 15: 8-5: Adding Probabilities English Casbarro Unit 8](https://reader036.vdocuments.us/reader036/viewer/2022062718/56649e7b5503460f94b7bc50/html5/thumbnails/15.jpg)
![Page 16: 8-5: Adding Probabilities English Casbarro Unit 8](https://reader036.vdocuments.us/reader036/viewer/2022062718/56649e7b5503460f94b7bc50/html5/thumbnails/16.jpg)
By cross-multiplying, you can see that
P(B|A) · P(A) = P(A and B)
![Page 17: 8-5: Adding Probabilities English Casbarro Unit 8](https://reader036.vdocuments.us/reader036/viewer/2022062718/56649e7b5503460f94b7bc50/html5/thumbnails/17.jpg)
![Page 18: 8-5: Adding Probabilities English Casbarro Unit 8](https://reader036.vdocuments.us/reader036/viewer/2022062718/56649e7b5503460f94b7bc50/html5/thumbnails/18.jpg)
![Page 19: 8-5: Adding Probabilities English Casbarro Unit 8](https://reader036.vdocuments.us/reader036/viewer/2022062718/56649e7b5503460f94b7bc50/html5/thumbnails/19.jpg)
![Page 20: 8-5: Adding Probabilities English Casbarro Unit 8](https://reader036.vdocuments.us/reader036/viewer/2022062718/56649e7b5503460f94b7bc50/html5/thumbnails/20.jpg)
![Page 21: 8-5: Adding Probabilities English Casbarro Unit 8](https://reader036.vdocuments.us/reader036/viewer/2022062718/56649e7b5503460f94b7bc50/html5/thumbnails/21.jpg)
![Page 22: 8-5: Adding Probabilities English Casbarro Unit 8](https://reader036.vdocuments.us/reader036/viewer/2022062718/56649e7b5503460f94b7bc50/html5/thumbnails/22.jpg)