1. Learning objectives To be able to calculate probabilities for combinations of experiments by using sample space diagrams(level 6) To learn to justify solutions and predictions with the help of diagrams(level 7) To calculate probabilities of combinations of experiments by using the AND and OR rule (extension task)(level 8)

2. Discuss with the person sitting next to you (use the back of your exercise book for any rough work): If you spin both spinners and add the results: 1) What different totals can you get? 2) Are all the totals equally likely? 3) What will happen if you spin the spinners 100 times? Starter: 12 23 23 First spinnerSecond spinner

3. Starter: 12 23 23 3) What will happen if you spin the spinners 100 times? total233 1344 2455 2455 First spinner Second spinner

4. There are 5 pens in a pack (1 red, 1 orange, 1 mud-brown and 2 black). I take a pen at random, look at it, return it then take another pen at random. What is the probability that both the pens I take are the same colour?

5. Sample space diagram P( 1 st black)= P(2 nd black) = P(1 st black AND 2 nd black)= First pen Second pen P(same)=

6. What if we use this as a game of chance at the Summer Fair? RMBBO RR,RR,MR,B R,O MM,RM,MM,B M,O BB,RB,MB,B B,O BB,RB,MB,B B,O OO,RO,MO,B O,O First pen Second pen P(same)= What if I charge 20p a go and give £1 prize if players pick two pens the same colour? I know that 100 people will play – how much should I charge to make at least £20 profit? (keep to £1 prize)

7. Summer Fair – Designing a Game of Chance Follow the ground rules for working in groups. Try to earn as many points as possible (see task sheet) Homework: (Due next Wednesday – joint presentation) Complete the Summer Fair task – make sure you test your game and record what happens. Ext: research and include the AND and OR rules