Bell Work Which of the following numbers could represent the probability of an event? For each, explain why or why not. A. -0.5 B. 4.2 C. 0.6 D. 0.888 E. 0 F. 0.39
Bell Work Which of the following numbers could represent the probability of an event? For each, explain why or why not. A. -0.5 No, you cannot have a negative probability. B. 4.2 No, a probability cannot be more than 1. C. 0.6 Yes, this means it is 60% likely to occur. D. 0.888 Yes, this means it is 88.8% likely to occur. E. 0 Yes, this means the event is impossible. F. 0.39 Yes, this means it is 39% likely to occur.
7-2B Sample Spaces
Vocabulary Sample Space: The set of all of the possible outcomes in a probability experiment. Tree Diagram: Display that represents the sample space.
Find a Sample Space A vendor sells vanilla and chocolate ice cream. Customers can choose from a waffle or sugar cone. Find the sample space for all possible orders of one scoop of ice cream in a cone.
You Try! a. The animal shelter has both male and female Labradors in yellow, brown, or black. Find the sample space for all possible Labradors available at the shelter.
Find Probability b. Delmar tosses three coins. If all three coins show up heads, Delmar wins. Otherwise, Kara wins. Find the sample space. Then find the probability that Delmar wins.
Rally Coach: Check Your Understanding page 382 #1 – 4.
Rally Coach: Check Your Understanding page 382 #1 – 4.
7-2C Counting Outcomes
Counting Outcomes The shoe warehouse sells sandals in different colors and styles. According to the table, how many colors of sandals are available? How many styles are available? Draw a tree diagram to find the number of different color and style combinations. Find the product of the two numbers you found in Exercises 1 and 2. How does he number of outcomes compare to the product?
Fundamental Counting Principle In the previous example, we saw that multiplication, instead of a tree diagram, can be used to find the number of possible outcomes in a sample space.
Find the Number of Outcomes Find the total number of outcomes when a coin is tossed and a number cube is rolled.
You Try! a. Find the total number of outcomes when choosing from bike helmets that come in three colors and two styles.
Rally Coach: Check Your Understanding page 387 #1-3.
Rally Coach: Check Your Understanding page 387 #1-3.
7-2D&E Independent and Dependent Events
Independent and Dependent Events A sale advertises that if you buy an item from the column on the left, you get a tote bag free. Suppose you choose items at random. What is the probability of buying a beach towel? Receiving a red tote bag? What is the product of the probabilities in exercise 1? Draw a tree diagram to determine the probability that someone buys a beach towel and receives a red tote bag.
Vocabulary Compound Event: consists of two or more simple events (the combined action of buying an item and receiving a free tote bag is a compound event). Independent Events: the outcome of one event does not affect the other event (which was true for the last example).
Independent Events One letter tile is selected and the spinner is spun. What is the probability that both will be a vowel?
You Try! a. A game requires players to roll two number cubes to move the game pieces. The faces of the cubes are labeled 1 through 6. What is the probability of rolling a 2 or 4 on the first number cube and then rolling a 5 on the second?
Dependent Events If the outcome of one event affects the outcome of another event, the events are called dependent events.
Dependent Events There are 4 oranges, 7 bananas, and 5 apples in a fruit basket. Ignacio selects a piece of fruit at random and then Terrance selects a piece of fruit at random. Find the probability that two apples are chosen.
You Try: Refer to the previous example. Find each probability. b You Try: Refer to the previous example. Find each probability. b. P(two bananas) c. P(orange then apple) d. P(apple then banana) e. P(two oranges)
Start Your Homework! Workbook pages 105, 106 and 107 ODD Remember to show all of your work!