Tree Diagrams & Sample Spaces

Front

What is a tree diagram?

Back

A visual representation that shows all possible outcomes of a situation, branching out like a tree.

Front

How do you calculate the total number of outfits possible with multiple clothing items?

Back

Multiply the number of options for each clothing item together.

Front

What is a sample space in probability?

Back

The set of all possible outcomes of a random experiment.

Front

If you have 3 colors of socks and you pick 2, how many combinations can you make?

Back

9 combinations (3 colors x 3 colors).

Front

What does it mean when order matters in a sample space?

Back

Different arrangements of the same items are considered different outcomes.

Front

How many outcomes are there when flipping a coin three times?

Back

8 outcomes (2^3 = 8).

Front

What is the sample space for rolling a six-sided die?

Back

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

Front

If Lena has four aces, how many represent the red suits?

Back

2 (Ace of Hearts and Ace of Diamonds).

Front

What is the formula for finding the number of outcomes in a situation with multiple choices?

Back

Multiply the number of choices for each option.

Front

What is the difference between a combination and a permutation?

Back

A combination does not consider order, while a permutation does.