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Chapter 12 Lesson 3 Probability. Vocabulary O Probability- A ratio that measures the chances of an event occurring. O Success- The desired outcome of.

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Presentation on theme: "Chapter 12 Lesson 3 Probability. Vocabulary O Probability- A ratio that measures the chances of an event occurring. O Success- The desired outcome of."— Presentation transcript:

1 Chapter 12 Lesson 3 Probability

2 Vocabulary O Probability- A ratio that measures the chances of an event occurring. O Success- The desired outcome of an event. O Failure- Any outcome other than the desired outcome. O Random- All outcomes have an equally likely chance of happening. O Random Variable- The outcome of a random process that has a numerical value. O Probability Distribution- A function that maps the sample space to the probabilities of the outcomes in the sample space for a particular random variable. O Uniform Distribution- A distribution where all of the probabilities are the same. O Relative-Frequency Histogram- A table of probabilities or a graph to help visualize a probability ditribution.

3 Probability of Success & Failure

4 O The probability of an event happening is always between 0 and 1. O A probability of 0 means the event never happens. O The closer the probability gets to 0, the less likely an event is to occur. O A probability of 1 means the event always happens. O The closer the probability gets to 1, the more likely an event is to occur.

5 Probability O Finding the probability of rolling a fair die and getting a 5?

6 Probability O 3 red, 4 blue, and 6 green blocks are in a bag. Picking one block out of the bag, what is the probability that the block is green?

7 Probability with Combinations O Monifa has a collection of 32 CDs – 18 R&B and 14 Rap. As she is leaving for a trip, she randomly chooses 6 CDs to take with her. What is the probability that she selects 3 R&B and 3 Rap?

8 Probability with Combinations O A board game is played with tiles with letters on one side. There are 56 tiles with consonants and 42 tiles with vowels. Each player must choose 7 of the tiles at the beginning of the game. What is the probability that a player selects 4 consonants and 3 vowels?

9 Probability with Permutations O Ramon has five books on the floor, one for each of his classes: Algebra 2, Chemistry, English, Spanish, and History. Ramon is going to put the books on a shelf. If he picks the books up at random and places them in a row on the same shelf, what is the probability that his English, Spanish, and Algebra 2 books will be the leftmost books on the shelf, but not necessarily in that order?

10 Probability with Permutations O What is the probability that English will be the last book on the shelf?

11 Probability Distributions O Suppose 2 dice are rolled. The table and the relative-frequency histogram show the distribution of the summ of the numbers rolled.

12 Probability Distributions O Use the graph to determine which outcome is most likely. What is its probability? O Use the table to find P(S=9). What other sum has the same probability? O Which outcome is least likely? What is its probability? O Use the table to find P(S=3). What other sum has the same probability?

13 Homework O Pages 700-701 O 2-32 even


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