2. S U C C E S S I O N P(N chosen) = 1 10 P(S chosen) = 3 10
P(vowel chosen)= = 2 5
P(S not chosen) = = 7 10

3. P(ace) = = 1 13
P(a spade) = = 1 4
P(not a club) = = 3 4
P( 7 or 8)= = 2 13
P(not 7 or 8) = = 11 13

4. P(red)=
P(not red) = 1− = 7 22
P(black) = 1 22
P(red or white) = = 8 11
P(not red or white) = 1− 8 11 = 3 11

5. P(made in Japan)= = 2 5
P(not made in Britain) = 1− = 19 30
P(made in Europe not Britain) = = 7 30
P(made in America)= 0

6. Z

7. Rock Paper Scissors Scissors Paper StoneZ
Rock Paper Scissors
Scissors Paper Stone
Scissors beats paper (cuts it)
Paper beats rock (wraps it)
Rock beats scissors (blunts it)
Showing the same is a draw

8. Rock Paper Scissors Scissors Paper Stone A Wins B Wins DrawZ
Rock Paper Scissors
Scissors Paper Stone
Create the following table to complete as you play
Play the game 30 times
Add up your tally for the Total
Fill in the 3 probabilities (these are the Total / 30)
Result
Tally
Total
Probability
A Wins
B Wins
Draw

9. (the events happening together)
Rock Paper Scissors
Which are the combined events in this game?
(the events happening together)
Which are the possible outcomes?
We use possibility space diagrams to show the possible outcomes of combined events – try it out!

10. Possibility Space Diagrams
Showing all possible outcomes of events happening together

11. Rock Paper Scissors D WB WA Scissors Paper Stone P(A wins) = ?Z
Rock Paper Scissors
Scissors Paper Stone
Now use it to calculate the theoretical probabilities
P(A wins) = ?
P(B wins) = ?
P(Draw) = ?
Player A
Scissors
Paper
Stone
Player B D WB WA

12. Possibility Space Diagrams
In a possibility space diagram we list all the possible outcomes of two events happening together and we use them to find the probability of the combined events!
EVENT A
Possible outcomes of Event A
E V E N T B
Possible outcomes of
Event B
The COMBINED
Possible Outcomes

13. Possibility Space Example
Imagine throwing two coins at the same time: A blue one and a red one What are the combined possible outcomes? What is the probability of getting one heads & one tails?
Blue Coin H T
{H, H}
{H, T}
{T, H}
{T, T}
Red Coin
Possible Outcomes curly brackets!

14. {1,1} {1,2} {1,3} {1,4} {1,5} {1,4} {2,1} {2,2} {2,3} {2,4} {2,5}
{2,6}
{3,1}
{3,2}
{3,3}
{3,4}
{3,5}
{3,6}
{4,1}
{4,2}
{4,3}
{4,4}
{4,5}
{4,6}
{5,1}
{5,2}
{5,3}
{5,4}
{5,5}
{5,6}
{6,1}
{6,2}
{6,3}
{6,4}
{6,5}
{6,6}