Warm-Up Monday 12/4 Define probability. Give an example of the probability of a simple event. A coin is tossed 20 times. It lands heads 4 times. Compare the experimental probability to its theoretical. A weather forecast predicts a 30% chance of rain for each of the next 3 days. Describe a way to simulate the chance that it will rain. Complete the Chapter 9 Learning Scale “Mid-Reflection”

Fundamental Counting Principle Chapter 9.5 Fundamental Counting Principle

Fundamental Counting Principle You can use ______________ instead of making a tree diagram to find the number of possible outcomes in a _____________. multiplication sample space

Example 1 Find the total number of outcomes when a coin is tossed and a number cube is rolled.

Compare to Tree Diagram Sample space = 12

Got it? Find the total number of outcomes when choosing from bike helmets that come in three colors and two styles. 3∙2 =6

Example 2 Find the total number of outcomes from rolling a number cube with sides labeled 1-6 and choosing a letter from the word NUMBERS. Then find the probability of rolling a 6 and choosing an M. 𝑃 6 𝑎𝑛𝑑 𝑀 = 1 42

Very unlikely 𝑃 32𝑋34 𝑠𝑙𝑖𝑚 𝑓𝑖𝑡 = 1 45 Example 3 Find the number of different jeans available. Then find the probability of randomly selecting a size 32 X 34 slim fit. Is it likely or unlikely that the jeans would be chosen? Very unlikely 𝑃 32𝑋34 𝑠𝑙𝑖𝑚 𝑓𝑖𝑡 = 1 45

𝑃 𝑠𝑢𝑚 12 = 1 36 Very unlikely Got it? Two number cubes are rolled. What is the probability that the sum of the numbers on the cubes is 12? How likely is it that the sum would be 12? 𝑃 𝑠𝑢𝑚 12 = 1 36 Very unlikely

𝑃 𝑜𝑟𝑎𝑛𝑔𝑒 𝑎𝑛𝑑 𝑓𝑒𝑚𝑎𝑙𝑒 = 1 10 5∙2 =10 unlikely Example 4 A box of toy cars contains blue, orange, yellow, red and black cars. A separate box contains a male and female action figure. What is the probability of choosing an orange car and female action figure? Is it likely or unlikely that this combination is chosen? 𝑃 𝑜𝑟𝑎𝑛𝑔𝑒 𝑎𝑛𝑑 𝑓𝑒𝑚𝑎𝑙𝑒 = 1 10 5∙2 =10 unlikely

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Fundamental Counting Principle Chapter 9.5 Fundamental Counting Principle

Fundamental Counting Principle You can use ______________ instead of making a tree diagram to find the number of possible outcomes in a _____________.

Example 1 Find the total number of outcomes when a coin is tossed and a number cube is rolled.

Compare to Tree Diagram Sample space =

Got it? Find the total number of outcomes when choosing from bike helmets that come in three colors and two styles.

Example 2 Find the total number of outcomes from rolling a number cube with sides labeled 1-6 and choosing a letter from the word NUMBERS. Then find the probability of rolling a 6 and choosing an M. 𝑃 6 𝑎𝑛𝑑 𝑀 =

Example 3 Find the number of different jeans available. Then find the probability of randomly selecting a size 32 X 34 slim fit. Is it likely or unlikely that the jeans would be chosen? 𝑃 32𝑋34 𝑠𝑙𝑖𝑚 𝑓𝑖𝑡 =

Got it? Two number cubes are rolled. What is the probability that the sum of the numbers on the cubes is 12? How likely is it that the sum would be 12?

Example 4 A box of toy cars contains blue, orange, yellow, red and black cars. A separate box contains a male and female action figure. What is the probability of choosing an orange car and female action figure? Is it likely or unlikely that this combination is chosen?

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