Name _____ 6__Lesson 6 Theoretical Probability June __ Page 271

Name _____ 6__Lesson 6 Theoretical Probability June __ Page 271 EXPLORE - In a game, students roll 2 dice. Each die is labelled 1 to 6. If the sum of the numbers rolled is a prime number, Player A scores a point. If the sum of the numbers rolled is a composite number, Player B scores a point. The first player to score 20 points wins. Who do you predict is more likely to win? Why? Play the game with a partner. Decide who will be Player A and Player B. Record your results in a tally chart. Student AStudent B PrimeComposite

Name _____ 6__Lesson 6 Theoretical Probability June __ Page 271 EXPLORE - In a game, students roll 2 dice. Each die is labelled 1 to 6. If the sum of the numbers rolled is a prime number, Player A scores a point. If the sum of the numbers rolled is a composite number, Player B scores a point. The first player to score 20 points wins. Who do you predict is more likely to win? Why? I think the student rolling __________ will win because _____________________________________. Play the game with a partner. Decide who will be Player A and Player B. Record your results in a tally chart. Student AStudent B PrimeComposite

Name _____ 6__Lesson 6 Theoretical Probability June __ Page 271 EXPLORE - In a game, students roll 2 dice. Each die is labelled 1 to 6. If the sum of the numbers rolled is a prime number, Player A scores a point. If the sum of the numbers rolled is a composite number, Player B scores a point. The first player to score 20 points wins. Who do you predict is more likely to win? Why? I think the student rolling composite will win because when rolling 2 dice (#’s 2-12), there are only 5 numbers that add to prime and 7 numbers add to composite. Play the game with a partner. Decide who will be Player A and Player B. Record your results in a tally chart. Student AStudent B PrimeComposite

Name _____ 6__Lesson 6 Theoretical Probability June __ Page 271 EXPLORE - Show and Share List the outcomes of the game. Which sum is more likely: A prime number or a composite number?

Name _____ 6__Lesson 6 Theoretical Probability June __ Page 271 EXPLORE - Show and Share List the outcomes of the game. Which sum is more likely: A prime number or a composite number? Dice

Name _____ 6__Lesson 6 Theoretical Probability June __ Page 271 EXPLORE - Show and Share List the outcomes of the game. Which sum is more likely: A prime number or a composite number? Dice

Name _____ 6__Lesson 6 Theoretical Probability June __ Page 271 EXPLORE - Show and Share List the outcomes of the game. Which sum is more likely: A prime number or a composite number? So, Prime are red = 15 and Composite are purple = 21! Dice

Name _____ 6__Lesson 6 Theoretical Probability June __ Page 271 EXPLORE - Show and Share List the outcomes of the game. Which sum is more likely: A prime number or a composite number? So, Prime are red = 15 and Composite are purple = 21! Therefore P(Composite) = 21/36 or 7/12 is MORE LIKELY than P(Prime) = 15/36 or 5/ Dice

Name _____ 6__Lesson 6 Theoretical Probability June __ Page 271 What is PROBABILITY? - _________________________________________ ______________________________________________________________________ There are ___ types of probability: 1) ____________ probability = 2) ____________ probability =

Name ANSWERS 6__Lesson 6 Theoretical Probability June __ Page 271 What is PROBABILITY? – the likelihood of a particular outcome OR a fraction = the number of times something occurs the total There are __ types of probability: 1) ___________ probability = 2) ___________ probability =

Name ANSWERS 6__Lesson 6 Theoretical Probability June __ Page 271 What is PROBABILITY? – the likelihood of a particular outcome OR a fraction = the number of times something occurs the total There are 2 types of probability: 1) experimental probability = 2) theoretical probability =

Name ANSWERS 6__Lesson 6 Theoretical Probability June __ Page 271 What is PROBABILITY? – the likelihood of a particular outcome OR a fraction = the number of times something occurs the total There are 2 types of probability: 1) experimental probability = number of times an outcome occurs What happens in number of times for the experiment the experiment. 2) theoretical probability =

Name ANSWERS 6__Lesson 6 Theoretical Probability June __ Page 271 What is PROBABILITY? – the likelihood of a particular outcome OR a fraction = the number of times something occurs the total There are 2 types of probability: 1) experimental probability = number of times an outcome occurs What happens in number of times for the experiment the experiment. 2) theoretical probability = number of favorable outcomes What is suppose to number of possible outcomes happen!

Name _____ 6__Lesson 6 Theoretical Probability June__ Page CONNECT - Read the CONNECT to learn more about other possible “Theoretical” outcomes

Name _____ 6__Lesson 6 Theoretical Probability June__ Page PRACTICE - #’s 1, 3, 8

Name _____ 6__Lesson 6 Theoretical Probability June__ Page PRACTICE - #1 A paper bag contains 2 green tiles, 4 yellow tiles, and1 blue tile. Liz draws a tile without looking. a) List the possible outcomes. b) What is the theoretical probability that the tile is: i) green? ii) yellow? iii) blue?

Name _____ 6__Lesson 6 Theoretical Probability June__ Page PRACTICE - #1 A paper bag contains 2 green tiles, 4 yellow tiles, and1 blue tile. Liz draws a tile without looking. a) List the possible outcomes. b) What is the theoretical probability that the tile is: i) green? ii) yellow? iii) blue? a) There are 7 possible outcomes: G, G, Y, Y, Y, Y, B b) P(Green) = 2/7P(Yellow) = 4/7P(Blue) = 1/7

Name _____ 6__Lesson 6 Theoretical Probability June__ Page PRACTICE - #3 Jade spins the pointer on this spinner. a) List the possible outcomes. b) What is the theoretical probability of each outcome? i) The pointer lands on black. ii) The pointer lands on red. iii) The pointer lands on yellow or white. iv) The pointer does not land on yellow.

Name _____ 6__Lesson 6 Theoretical Probability June__ Page PRACTICE - #3 Jade spins the pointer on this spinner. a) List the possible outcomes. 4 Possible Outcomes W, Y, R, B b) What is the theoretical probability of each outcome? i) The pointer lands on black. ii) The pointer lands on red. iii) The pointer lands on yellow or white. iv) The pointer does not land on yellow.

Name _____ 6__Lesson 6 Theoretical Probability June__ Page PRACTICE - #3 Jade spins the pointer on this spinner. a) List the possible outcomes. 4 Possible Outcomes W, Y, R, B b) What is the theoretical probability of each outcome? i) The pointer lands on black. P(Black) = 1/4 ii) The pointer lands on red. P (Red) = 1/4 iii) The pointer lands on yellow or white. P (Y or W) = 2/4 = ½ iv) The pointer does not land on yellow. P(Not Y) = ¾

Name _____ 6__Lesson 6 Theoretical Probability June__ Page PRACTICE - #8 At a carnival, you can choose one of these wheels to spin. To win a prize on the first wheel, the pointer must land on a star. To win a prize on the second wheel, the pointer must land on a happy face. Which wheel would you choose to spin? Use words and numbers to explain your answer.

Name _____ 6__Lesson 6 Theoretical Probability June__ Page PRACTICE - #8 At a carnival, you can choose one of these wheels to spin. To win a prize on the first wheel, the pointer must land on a star. To win a prize on the second wheel, the pointer must land on a happy face. Which wheel would you choose to spin? Use words and numbers to explain your answer. P(Star) = 2/8 = ¼ P(Happy Face) = 1/5 So, which is higher ¼ or 1/5 ? The STAR wins because ¼ is larger than 1/5.