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 from a starting point.

Front

How do you calculate the total number of outfits from shirts, pants, and shoes?

Back

Multiply the number of shirts, pants, and shoes together. For example, if there are 3 shirts, 4 pants, and 2 shoes, the total outfits = 3 x 4 x 2 = 24.

Front

What is a sample space?

Back

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

Front

If you have 2 types of pets (cats and dogs) and 3 colors (black, brown, spotted), how many combinations can you make?

Back

You can make 6 combinations: (cat, black), (cat, brown), (cat, spotted), (dog, black), (dog, brown), (dog, spotted).

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. For 3 coins, it is 2^3 = 8 outcomes.

Front

What does it mean to find the complete set of combinations?

Back

Finding the complete set of combinations means listing all possible pairs of choices from two or more categories.

Front

How many outcomes are there when rolling a die?

Back

There are 6 outcomes when rolling a standard six-sided die.

Front

What is the purpose of a tree diagram in probability?

Back

A tree diagram helps visualize and organize the possible outcomes of an event, making it easier to calculate probabilities.

Front

If a sandwich shop offers 3 types of sandwiches and 2 drinks, how many different meal combinations can you create?

Back

You can create 6 different meal combinations: 3 sandwiches x 2 drinks = 6 combinations.

Front

What is the probability of flipping heads on a fair coin?

Back

The probability is 1/2 or 50%.