Tree Diagrams and Sample Spaces

Front

What is a tree diagram?

Back

A tree diagram is a visual representation that shows all possible outcomes of a sequence of events, branching out like a tree.

Front

What is a sample space?

Back

The sample space is the set of all possible outcomes of a probability experiment.

Front

How do you calculate the total number of outcomes when making choices?

Back

Multiply the number of choices for each event together.

Front

If you have 2 types of pets (cat and dog) and 3 colors (black, brown, spotted), how many total outcomes are there?

Back

6 outcomes (2 pets x 3 colors = 6).

Front

How many different outfits can you make with 3 shirts, 4 pairs of pants, and 2 pairs of shoes?

Back

24 outfits (3 shirts x 4 pants x 2 shoes = 24).

Front

What is the formula for finding the number of outcomes when flipping coins?

Back

The formula is 2^n, where n is the number of coins.

Front

How many possible outcomes are there if you flip 3 coins?

Back

8 outcomes (2^3 = 8).

Front

What does the sample space for flipping two coins look like?

Back

HH, HT, TH, TT.

Front

What is the total number of outcomes for rolling a die?

Back

6 outcomes (1, 2, 3, 4, 5, 6).

Front

If you have 4 different fruits and you want to choose 2, how many combinations can you make?

Back

6 combinations (4 choose 2 = 6).