Sample Space Diagrams Demonstration This resource provides animated

Sample Space Diagrams – Demonstration This resource provides animated demonstrations of the mathematical method. Check animations and delete slides not needed for your class.

I’m playing Monopoly and want to land on Park Lane to buy it. I need a 7. What is the probability I roll a 7 on 2 dice?

Imagine one dice was red and one was blue. Dice 2 There are 36 equally likely outcomes. Dice 1 + 2 3 4 5 6 7 8 9 10 Total Score Sample Space Diagrams 6 7 8 9 10 11 12 How many ways can we get a 7? P(12) = P(6) =

Sample Space Diagrams + Dice 2 P(8) = Dice 1 2 3 4 5 6 7 8 9 10 Total Score 6 7 8 9 10 11 12 P(9) = P(even) = P(0) = P(more than 7) = P(3, 5 or 10) =

① A student makes a hexagonal spinner (1 -6) and a pentagonal spinner (1 -5). a) Complete the Sample Space Diagram for spinning both and adding their scores. Calculate: b) P(11) = 2 nd Spinner 1 st Spinner 1 2 3 4 3 c) P(7) = 4 d) P(8 or more) = 5 e) P(4 or 9) = f) P(the same number on both spinner) = Total Score 5 6

② A dice and a coin are thrown at the same time. a) Complete the Sample Space Diagram. Dice Coin 1 Head 2 3 4 5 H, 1 Tail T, 5 b) Calculate the probability of scoring a 4 on the dice and a heads on the coin. c) Calculate the probability of scoring tails and an odd number on the dice. d) P(Heads and a number greater than 2) = e) P(NOT a 5 and NOT Heads) = 6

A 6 -sided and a 4 -sided die are thrown and the product of their results recorded. a) Complete a Sample Space Diagram. b) P(Even number) = e) P(NOT a prime number) = c) P(less than 10) = f) P(NOT a square number) = d) P(NOT more than 2) = g) P(11) = ③

① A student makes a hexagonal spinner (1 -6) and a pentagonal spinner (1 -5). a) Complete the Sample Space Diagram for spinning both and adding their scores. 1 st Spinner 2 3 4 5 6 1 2 3 4 5 6 7 8 9 c) P(7) = 4 5 6 7 8 9 10 d) P(8 or more) = 5 6 7 8 9 10 11 Calculate: b) P(11) = 2 nd Spinner 1 e) P(4 or 9) = f) P(the same number on both spinner) = Total Score Answers

② A dice and a coin are thrown at the same time. a) Complete the Sample Space Diagram. Coin Dice 1 2 3 4 5 6 Head H, 1 H, 2 H, 3 H, 4 H, 5 H, 6 Tail T, 1 T, 2 T, 3 T, 4 T, 5 T, 6 b) Calculate the probability of scoring a 4 on the dice and a heads on the coin. c) Calculate the probability of scoring tails and an odd number on the dice. d) P(Heads and a number greater than 2) = e) P(NOT a 5 and NOT Heads) = Answers

A 6 -sided and a 4 -sided die are thrown and the product of their results recorded. Dice 2 a) Complete a Sample Space Diagram. 1 2 3 1 1 2 2 2 3 4 Dice 1 ③ Answers 4 5 6 3 4 5 6 4 6 8 10 12 3 6 9 12 15 18 4 8 12 16 20 24 b) P(Even number) = e) P(NOT a prime number) = c) P(less than 10) = f) P(NOT a square number) = d) P(NOT more than 2) = g) P(11) =

Answers

Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths. co. uk