Basic Skills Jada will use a random number generator 1,200 times. Each result will be a digit from 1 to 6. Which statement best predicts how many times the digit 5 will appear among the 1200 results? It will appear exactly 200 times It will appear close to 200 times but probably not exactly 200 times. It will appear exactly 240 times. It will appear close to 240 times but probably not exactly 240 times.

You have worked with probabilities involving one specific desired outcome.  Now you will investigate probabilities of compound events.  Compound events are events with combinations of outcomes.  You will find the probability that either one of the events or the other event occurs. Think about these questions as you work with your study team: How is this probability related to the probability of a single event? Either what event or what other event are we interested in? Does our answer make sense?

1-119. Jamal helps around the house by doing one chore after school 1-119. Jamal helps around the house by doing one chore after school.  Each day, Jamal and his aunt use the spinner at right to decide which chore he will do. Here is what Jamal knows: The sections on the spinner for “rake leaves” and “do laundry” are the same size. The sections for “clean bathroom” and “vacuum” are equal in size and together make up half the spinner. a. What is the probability that Jamal will spin “do laundry”?   b. Jamal hates to clean the bathroom.  When he spins the spinner, what is the probability that it will not point to “clean bathroom”?  Explain  

1-120. Jamal’s aunt hopes that he will either spin “clean bedroom” or “rake leaves” today. What is P(clean bedroom)?  What is P(rake leaves)?  b. Spinning either chore in part (a) would make Jamal’s aunt happy.  Discuss the questions below and be sure to justify. What is the probability that he will spin either one of the chores? How can you write the two outcomes as a single probability? 

1-123. J.T. shuffles a standard deck of 52 playing cards and starts to turn them over one at a time.  The first three cards he turns over are an ace, a 4, and a jack. a. How many cards are left in the deck?   b. How many of the remaining cards are aces?   c. What is the probability that the fourth card will be an ace?  d. Instead of getting an ace, he gets a 2 as the fourth card.  The fifth card is a 5.  What is the probability that the next card will be a king?

How can probabilities be combined? In Lesson 1.2.7, you calculated probabilities for single events and combinations of events when either one outcome or the other is desirable.  You have also compared those probabilities to decide which outcomes are most likely.  In this lesson, you will work to apply your knowledge of fractions to represent and calculate the probabilities of a variety of events.  As you work today, ask each other these questions to focus your discussion: How can probabilities be combined? How can the answer be rewritten in a different form?

If you reach into the bag, what is P(coconut or kiwi)? 1-131. Takara has a paper bag full of Fruiti Tutti Chews in three different fruit flavors.  She says, “If you reach into the bag, you have a  1 3  chance of pulling out a Killer Kiwi.  There is a 3 5  chance that you will get Crazy Coconut.”   If you reach into the bag, what is P(coconut or kiwi)?    b. Does there have to be another flavor in the bag?  How can you tell?  If so, assuming that there is only one other flavor, what is the probability of getting that flavor?  c. How many candies might Takara have in the bag?  Is there more than one possibility? 

1-133. Bryce is playing a game, but the spinner is incomplete 1-133. Bryce is playing a game, but the spinner is incomplete.  Each section of the spinner is labeled with the probability of spinning it.  What fraction is missing? ? 1/3 2/5 1/6

1-134. Albert found a spinner his teacher was making 1-134. Albert found a spinner his teacher was making.  He knew that if he put his problem-solving skills to use, he would be able to figure out the missing piece and finish the spinner for his teacher. a. Write an expression for the problem Albert needs to solve.  Is there more than one way to do this?  b. Find the solution. ? 1/4 1/3 1/4 1/8

Practice One die, numbers 1,2,3,4,5, and 6 is rolled. What is the probability of rolling either a 1 or a 6? A spinner is divided into eight equal sections. The sections are numbered 1,2,3,4,5,6,7, and 8. What is the probability of spinning a 2,3, or a 4? Patty has a box of 12 colored pencils. There are 2 blue, 1 black, 1 gray, 3 red, 2 green, 1 orange, 1 purple, and 1 yellow in the box. Patty closes her eyes and chooses one pencil. She is hoping to choose a green or a red. What is the probability she will get her wish? Use the spinners below to tell Paul what his chances are of getting the silver truck that he wants.

Find the missing fraction to complete the spinner. Lesson 1.2.8 7.SP.8a Find the missing fraction to complete the spinner. What is the probability that the spinner will land on a melon or an apple? Answer: Melon: 3 20 Melon or Apple: 9 20