Chapter 5 Lesson 10, 11, and 12 Predicting and Listing Outcomes

What are the possible outcomes of tossing a number cube? 1, 2, 3, 4, 5, 6 Each of these outcomes are equally likely because they all have the same number of times they could occur.

Think about the chances of tossing an even number. Event: Tossing an even number Favorable Outcome: 2, 4, 6 Think about the chances of tossing an odd number. Event: Tossing an odd number Favorable Outcome: 1, 3, 5 Tossing an even number and tossing an odd number are equally likely events.

Compare the chances of tossing the number 6 or tossing a number less than 6. Event: Tossing the number 6 Favorable outcome: 6 Event: Tossing a number less than 6 Favorable outcomes: 1, 2, 3, 4, 5 Tossing a 6 is less likely than tossing a number less than 6. Tossing a number less than 6 is more likely than tossing a 6.

Give an example of an event that can never happen and an example of an event that will always happen. Event: Tossing a 7 Favorable outcome : None Tossing a 7 is an impossible event.

Give an example of an event that is sure to happen. Event: Tossing a number less than 7 Favorable outcomes: 1, 2, 3, 4, 5, 6 Tossing a number less than 7 is a certain event.

The nature club is planning a field trip. They have decided to write their destination choices on slips of paper and have their instructor select the destination by drawing a slip of paper out of a bag. Is it equally likely that the instructor will draw the nature museum or the forest preserve? Nature Museum Beach Forest Preserve Forest Preserve Which destination is the instructor least likely to draw? Nature Museum Which destination is the instructor most likely to draw? Beach No What is the chance of the instructor drawing the nature museum? 1 out of 7

Think of drawing one counter at a time and the replacing it after each draw. Consider the events “draw red,” “draw blue,” and “draw yellow.” Are the events equally likely? Which event is most likely? Least likely? If you drew a counter 80 times, how many times would you expect to draw a red counter? Draw red Draw yellow 50 times Blue counter? 20 times Yellow counter? 10 times

If you actually performed an experiment with the counters described, do you think the results of your experiment would be the same as the expected results? No, Expected and experimental results often differ. Describe an event about drawing a counter that is impossible. Draw green Describe an event about drawing a counter that is certain. Draw a primary color

Listing Outcomes Shawn, Larry, and Ken are eligible to be captain of the football team. Juan, Andy, Ricky, and Mark are eligible to be co- captain. Each boy has an equal chance of being selected. How many possible outcomes are there for choosing a captain and a co- captain? A tree diagram is used to help us see the possible outcomes.

Shawn Larry Ken Captain Juan Andy Ricky Mark Juan Andy Ricky Mark Juan Andy Ricky Mark Co-captain Shawn, Juan Shawn, Andy Shawn, Ricky Shawn, Mark Larry, Juan Larry, Andy Larry, Ricky Larry, Mark Ken, Juan Ken, Andy Ken, Ricky Ken, Mark Outcome 3 X 4 = 12

Make a tree diagram to show the sample space for tossing the number cube and then spinning a spinner colored in half by green and yellow Green Yellow Green Yellow Green Yellow Green Yellow Green Yellow Green Yellow 1, green 1, yellow 2, green 2, yellow 3, green 3, yellow 4, green 4, yellow 5, green 5, yellow 6, green 6, yellow DiceSpinnerOutcomeOutcomeSpinnerDice 6 X 2 = 12

The probability of an event is the number that describes the chance that an event will occur. Probability of = number of favorable outcomes an event number of possible outcomes

Use the letters in BEATRICE to find the probability of choosing each letter or letters out of a bag. A consonant 1/2 The letter E1/4 Not E3/4