1. MNU 3-22a MNU 4-22a 6-Feb-16Created by Mr. Lafferty Maths Dept. Probability www.mathsrevision.com Probability in Ratio Form Independent Events (Extension) Probability in Fraction Form Dependent Events (Extension)

2. MNU 3-22a MNU 4-22a 6-Feb-16Created by Mr. Lafferty Maths Dept. Starter Questions www.mathsrevision.com 55 o xoxo 47 o

3. MNU 3-22a MNU 4-22a 6-Feb-16Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.Understand the term probability. probability. 1.We are learning how to calculate probability in ratio form. 2.Calculate the probability of an event happening. www.mathsrevision.com Probability 3.Write in ratio form.

4. MNU 3-22a MNU 4-22a 6-Feb-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com 10.50 CertainEvensImpossible Not very likely Very likely Everyone getting 100 % in test Homework Every week Toss a coin That land Heads It will Snow in winter Going without Food for a year. Probability Likelihood Line Which event is fair? Tossing a coin

5. MNU 3-22a MNU 4-22a 6-Feb-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Probability Calculating Ratio Probability One way of thinking about Probability is as a ratio Chance of an event happening is 1 in......... P(Event) =the number of favourable events compared to the total number of events.

6. MNU 3-22a MNU 4-22a 6-Feb-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Probability Calculating Ratio Probability Example : What is the chance of getting a 4 when rolling a dice. The number of favourable events is 1 The number of total events is 6 (1,2,3,4,5,6,) So probability is P(4) = 1 in 6 chance

7. MNU 3-22a MNU 4-22a 6-Feb-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Probability Calculating Ratio Probability Example : What is the chance of getting an odd when rolling a dice. The number of favourable events is 3 (1,3,5) The number of total events is 6 (1,2,3,4,5,6,) So probability is P(odd) = 3 in 6 chance P(odd) = 1 in 2 chance Simplify HCF = 3

8. MNU 3-22a MNU 4-22a 6-Feb-16Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 2 Ch13 (page 140) www.mathsrevision.com Probability Calculating Ratio Probability

9. MNU 3-22a MNU 4-22a 6-Feb-16Created by Mr. Lafferty Maths Dept. Starter Questions www.mathsrevision.com

10. MNU 3-22a MNU 4-22a 6-Feb-16Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.Understand the term probability. probability. 1.We are learning how to calculate probability in fraction form. 2.Calculate the probability of an event happening. www.mathsrevision.com Probability 3.Write in fraction form.

11. MNU 3-22a MNU 4-22a 6-Feb-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Probability Calculating Probability Probability can be thought of as a simple fraction or decimal. It always lies between 0 and 1. 0 meaning impossible ( could not happen) 1 meaning certain ( will definitely happen)

12. MNU 3-22a MNU 4-22a 6-Feb-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Probability Calculating Probability Example : A boy tossed a coin. What is the probability that it is heads. Example : There are 3 red and 4 green balls in a bag. What is the probability a green ball is picked.

13. MNU 3-22a MNU 4-22a 6-Feb-16Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 3 Ch13 (page 141) www.mathsrevision.com Probability Are you on Target ? I can ?

14. MNU 3-22a MNU 4-22a 6-Feb-16Created by Mr. Lafferty Maths Dept. Starter Questions www.mathsrevision.com 70 o xoxo 62 o

15. MNU 3-22a MNU 4-22a 6-Feb-16Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.Understand the independent event. 1.We are learning how to calculate probability for independent events. 2.Calculate the probability of independent event. www.mathsrevision.com Probability

16. MNU 3-22a MNU 4-22a 6-Feb-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Probability Calculating Probability Independent events are events that do not depend on each other. Example :Landing a tails when flipping a coin and Rolling a 5 on a dice. Example :Choosing a Jack from a set of playing cards, replacing it, and then choosing a 7. P(E 1 and E 2 ) = P(E 1 ) x P(E 2 )

17. MNU 3-22a MNU 4-22a 6-Feb-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Probability Calculating Probability Example : What is the probability of tossing a coin and getting a heads and then tossing again and getting another heads. Example : There are 3 red and 1 green balls in a bag. What is the probability of picking a green ball, replacing it and then picking a red ball. P(H) =½ ½ x ½ = ¼ P(H) =½ P(E 1 and E 2 ) = P(G) =¼ ¼ x ¾ = P(R) =¾ P(E 1 and E 2 ) = 3 16

18. MNU 3-22a MNU 4-22a 6-Feb-16Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 4 Ch13 (page 146) www.mathsrevision.com Probability

19. MNU 3-22a MNU 4-22a 6-Feb-16Created by Mr. Lafferty Maths Dept. Starter Questions www.mathsrevision.com xoxo 57 o 72 o

20. MNU 3-22a MNU 4-22a 6-Feb-16Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.Understand the dependent event. 1.We are learning how to calculate probability for dependent events. 2.Calculate the probability of dependent event. www.mathsrevision.com Probability

21. MNU 3-22a MNU 4-22a 6-Feb-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Probability Calculating Probability Dependent events are events that affect the next event. Example :Choosing a Jack from a set of playing cards, WITHOUT REPLACING IT then picking a three. P(E 1 and E 2 ) =P(E 1 ) x P(E 2 )

22. MNU 3-22a MNU 4-22a 6-Feb-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Probability Calculating Probability Example : There are 3 yellow and 2 blue balls in a bag. What is the probability of picking a blue ball, NOT replacing it, and then picking a yellow ball. P( Blue ) = P( Yellow ) = P(B and Y) = 6 20 2 5 3 4 2 5 3 4 x== 3 10

23. MNU 3-22a MNU 4-22a 6-Feb-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Probability Calculating Probability Example : What is the probability of choosing a diamond from a set of playing cards, NOT replacing it, and then picking another diamond. P(◊) = P(◊) = P(◊ and ◊) = 156 2652 13 52 12 51 13 52 12 51 x== 3

24. MNU 3-22a MNU 4-22a 6-Feb-16Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 5 Ch13 (page 147) www.mathsrevision.com Probability Have you updated your Learning Log ? Are you on Target ? I can ?