1. This document outlines key concepts and examples for Investigation #8 on probability, including favorable and possible outcomes, chance, odds, compound events, independent events, theoretical vs experimental probability.
2. Students have assignments due on Tuesday 4/22 for problems 1-20 of Investigation #8 and a test on Friday 4/25.
3. Examples are provided to demonstrate calculating probabilities of single events, complementary events, compound events by multiplying individual probabilities, and experimental vs theoretical probabilities.
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Dev Dives: Train smarter, not harder – active learning and UiPath LLMs for do...UiPathCommunity
💥 Speed, accuracy, and scaling – discover the superpowers of GenAI in action with UiPath Document Understanding and Communications Mining™:
See how to accelerate model training and optimize model performance with active learning
Learn about the latest enhancements to out-of-the-box document processing – with little to no training required
Get an exclusive demo of the new family of UiPath LLMs – GenAI models specialized for processing different types of documents and messages
This is a hands-on session specifically designed for automation developers and AI enthusiasts seeking to enhance their knowledge in leveraging the latest intelligent document processing capabilities offered by UiPath.
Speakers:
👨🏫 Andras Palfi, Senior Product Manager, UiPath
👩🏫 Lenka Dulovicova, Product Program Manager, UiPath
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https://alandix.com/academic/papers/synergy2024-epistemic/
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3. Inv. #8.notebook April 17, 2014
*Odds...
Probability: Favorable Outcomes
Unfavorable Outcomes
**A COMPOUND EVENT is composed of 2 or more simple events
***To find the probability of 2 or more events, we multiply the
probability of each event.
Ex-->A coin is tossed and a number cube is rolled...
What is the probability of getting heads and an even number?
4. Inv. #8.notebook April 17, 2014
*Independent Events...
One outcome doesn't affect the next outcome!
**Theoretical Probability: in "theory" this is what should
happen
***Experimental probability: we actually conduct an experiment
to find the probability
5. Inv. #8.notebook April 17, 2014
Investigation #8 Examples:
A) If a single number cube is rolled, what are the "odds" of
getting a 3?
1:5
B) Dave Murray forecast the chance of rain to be 40%. Based
on the forecast, what is the chance it will NOT rain?
60%
6. Inv. #8.notebook April 17, 2014
C) A coin is tossed an this spinner is spun. What is the
probability of heads and an even number?
1/2 x 1/3 =
D) What is the Sample Space for example "C"?
H1; H2; H3; T1; T2; T3
1 2
3
7. Inv. #8.notebook April 17, 2014
E) If a number cube is rolled three times, what is the
probability of getting 6 all three times?
1/6 x 1/6 x 1/6 =
F) If a coin is flipped four times, what is the probability of
getting Heads all four times?
1/2 x 1/2 x 1/2 x 1/2
![Inv. #8.notebook April 17, 2014
Assignment:
1-->Inv. #8, #1-20 all - Due Tuesday [4/22]
2-->Test #12 - Friday [4/25]](https://image.slidesharecdn.com/7thmathc2-inv8-140417144009-phpapp01/85/7th-math-c2-inv-8-1-320.jpg)
