Introduction to Probability Chapter 16

Journal Time: April 19, 2017 Make sure you have definitions for all of the following words in your journal. You may use the textbook to help you. Outcome Experiment Sample space Event Simple event Probability Equally likely Experimental probability Theoretical probability Simulation Trial Certain event Impossible event

Journal Time: April 19, 2017 What is the highest probability you can have? What is it called when you have this probability? What is the lowest probability you can have?

My Favorite “No” Find at least two things that are correct in the solution. Then find the mistake.

My Favorite “No” Find at least two things that are correct in the solution. Then find the mistake.

My Favorite “No” Find at least two things that are correct in the solution. Then find the mistake.

Homework Finish test corrections. For any credit at all, you must show all of your work.

Creating Simulations (#11 on your 16.4 homework) Step One: Write the probability of him striking out as a fraction in simplest terms. Step Two: Decide on a simulation that would be able to display that same probability. Step Three: Describe how many times you will do the experiment to make up one trial.

Creating Simulations (#11 on your 16.4 homework) Step One: Write the probability of him striking out as a fraction in simplest terms. P(Striking out) = 40/100 = 4/10 = 2/5 Step Two: Decide on a simulation that would be able to display that same probability. Use a spinner with 5 equal sections, two of the sections are labeled “strike out” Step Three: Describe how many times you will do the experiment to make up one trial. If Joel goes to bat 8 times at practice (see question), then one trial would be to spin the spinner 8 times, recording how many times it lands on “strike out.”

Random Number Generator

Journal: Complementary Events Write the definition of complementary events in your journal. (see p. 924) What event would be complementary to the event that the product is an even number? Determine P(product is an even number) and P(product is an odd number). What other complementary events can you think of. Table comes from p. 924 in your textbook

Journal: Complementary Events Write the definition of complementary events in your journal. (see p. 924) Events that consist of the desired outcomes, and the remaining events that consist of all the undesired outcomes. What event would be complementary to the event that the product is an even number? The event that the product is an odd number. Determine P(product is an even number) and P(product is an odd number). P(product is an even number) = 16/25 P(product is an odd number) = 9/25 16/25 + 9/25 = 25/25 = 1 What other complementary events can you think of. Example: The event that the product is above 8 is complementary to the event that the product is 8 or below. b. Example 2: The event that the product is a multiple of 5 is complementary to the event that the product is not a multiple of 5.

Journal: April 27 What is the definition of a compound event? (see p. 931 in your textbook). List all of the possible outcomes from tossing two coins. List all of the outcomes from getting heads on the first coin and the second coin. What is the probability of getting heads on the first coin and the second coin? List all of the outcomes from getting heads on the first coin or the second coin. What is the probability of getting heads on the first coin or the second coin?

Journal: April 27 What is the definition of a compound event? (see p. 931 in your textbook). The combination of two or more events using the word “and” or the word “or.” List all of the possible outcomes from tossing two coins. HH, HT, TH, TT List all of the outcomes from getting heads on the first coin and the second coin. a. HH What is the probability of getting heads on the first coin and the second coin? P(heads on 1st and heads on the 2nd coin) = 1/4 List all of the outcomes from getting heads on the first coin or the second coin. HH, HT, TH What is the probability of getting heads on the first coin or the second coin? P(heads on the 1st coin or the 2nd coin) = 3/4

Chapter 17 Vocabulary Probability model Uniform probability model Non-uniform probability model Tree diagram Complementary events Compound event “And” on page 931 “Or” on page 931

Chapter 17 Vocabulary Probability model: A list of each possible outcome with its probability. Uniform probability model: All probabilities are the same. Non-uniform probability model: All probabilities are not the same. Tree diagram: Complementary events: Events that consist of the desired outcomes AND the remaining events that are all the non-desired outcomes. Compound event: Combines two or more events, using the word “and” or the word “or.” “And” on page 931: Probability is based on both events occurring together. “Or” on page 931: Probability is based on either event occurring. Including both.