Interactive Chalkboard

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Tree diagram Outcomes Sample space Event Fundament
al Counting Principal
Vocabulary
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CHILDREN A family has two children. Draw a tree
diagram to show the sample space of the
childrens genders. Then determine the
probability of the family having two girls.
There are four equally-likely outcomes with one
showing two girls.
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COINS A game involves flipping two pennies. Draw
a tree diagram to show the sample space of the
results in terms of heads and tails. Then
determine the probability of flipping one head
and one tail.
Answer
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ICE CREAM An ice cream sundae at the Ice Cream
Shoppe is made from one flavor of ice cream and
one topping. For ice cream flavors, you can
choose from chocolate, vanilla, and strawberry.
For toppings, you can have hot fudge,
butterscotch, or marshmallow. Find the number of
different sundaes that are possible.
Make a tree diagram to show the sample space.
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Answer There are nine different sundaes possible.
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ICE CREAM An ice cream sundae at the Ice Cream
Shoppe is made from one flavor of ice cream and
one topping. For ice cream flavors, you can
choose from chocolate, vanilla, and strawberry.
For toppings, you can have hot fudge,
butterscotch, or marshmallow. If you are given a
sundae at random from the Ice Cream Shoppe, what
is the probability that it has vanilla ice cream?
Make a tree diagram to show the sample space.
Then, find the probability that the sundae has
vanilla ice cream.
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The Fundamental Counting Principal

• If you have 2 events 1 event can occur m ways
  and another event can occur n ways, then the
  number of ways that both can occur is mn
• Event 1 4 types of meats
• Event 2 3 types of bread
• How many diff types of sandwiches can you make?
• 43 12

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CLOTHING The table below shows the shirts,
shorts, and shoes in Gerrys wardrobe. How many
possible outfits can he choose consisting of one
shirt, one pair of shorts, and one pair of shoes?
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Example 3-1b
Check You can check your work by drawing a tree
diagram and listing the 24 outcomes.
Answer There are 24 possible outfits that Gerry
can choose.
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SANDWICHES The table below shows the types of
bread, types of cheese, and types of meat that
are available to make a sandwich. How many
possible sandwiches can be made by selecting one
type of bread, one type of cheese, and one type
of meat?

Answer 27
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Tree diagram Outcomes Sample space Event Fundament
al Counting Principal
Things that could happen
List of all possible outcomes
A subset of the possible outcomes
If you have 2 events 1 event can occur m ways
and another event can occur n ways, then the
number of ways that both can occur is mn
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