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PROBABILITYthe extent to which an event is likely
to occur
Heads Tails
Heads
Tails
How many different outcomes are there when flipping 2 coins?
H;H H;T
T;H T;T
There are a total of 4 outcomesThere is a 1 in 4 chance (25%) of
getting two headsThere is a 2 in 4 chance (50%) of getting a head and a tail
Drawing a tree diagramevent 1 event 2 outcomes
Heads, Heads
Heads, Tails
Tails, Heads
Tails, Tails
12
12
12
12
12
12
14
14
14
14
1 2 3 4 5 6
Heads
Tails
H;1 H;2 H;3 H;4 H;5
H;6
T;1 T;2 T;3 T;4 T;5 T;6
There are a total of 12 outcomes
What is the chance of getting tails and a 5?
1 in 12
What is the chance of getting tails?6 in 12 or 1 in 2
What is the chance of getting 3?2 in 12 or 1 in 6
How many different outcomes are there when flipping a coins and throwing a dice?
Drawing a tree diagram
16
16
16
16
16
16
12
121
2
12
12
12
1212 1
2
12
12
12
1 2 3 4 5 6
1
2
3
4
5
6
1;1 1;2 1;3 1;4 1;5 1;62;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
How many different outcomes are there when throwing 2 dice?
There are a total of 36 outcomesWhat is the chance of getting 2 sixes?1 in
36What is the chance of getting a 1 and a 4?
2 in 36What is the chance of getting a 6?11 in
36
Ice Cream choicesCones
Plain Chocolate
Ice-Cream Flavours
Vanilla Strawberry Fudge
Toppings
Nuts Jelly tots Banana
How many combo’s can be made? Draw a tree-diagram
A couple decides to have 2 children. There are a few possibilities: 2 boys, 2 girls, the eldest a boy and the younger a girl or the eldest a girl and the youngest a boy.
Show their options in a two-way table. How many combinations would there be if the couple wants 3 children? Why would you not be able to show your answer in (b) in a two-way table? Show the options for (b) in a tree diagram. How many combinations would there be if the couple decides to have 4 children?
A restaurant sells a variety of sandwiches. They have the following options available:
3 types of bread: White, Brown or Whole-wheat bread
4 different fillings: Chicken mayo, Ham and cheese, Cheese and Tomato, Bacon and Egg fillings
2 different side orders: Salad or Chips
How many different sandwich orders can be made if all orders include 1 type of bread, 1 filling and a side order?
Show all the combinations in a tree diagram.
Emily just got a new job at the local coffee shop. For her uniform, she must wear a white, brown or burgundy shirt with a brown skirt or pants.
How many outfits can she make? Create a tree diagram to illustrate your solution.
When Chanel bought her new iPod player, she could choose between 1G, 2G, and 5G memories and a choice of red, pink and black cases. Draw a tree diagram for this situation.
A box contains 20 chocolates, of which 15 have soft centres and 5 have hard centres. Two chocolates are taken at random, one after the other.
a) Draw a tree-diagram to represent the
situation b) Calculate the probability that, both
chocolates have soft centres, c) one of each chocolate is taken, d) both chocolates have hard centres,
given that the second chocolate has a hard centre
Soft centre
Hard centre
Soft centre
Soft centre
Hard centre
Hard centre
5 in 20
15 in 20
4 in 19
15 in 19
5 in 19
14 in 19
