Tree Diagrams & Fundamental Counting Principle Flashcard

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

What is the Fundamental Counting Principle?

Back

The Fundamental Counting Principle states that if one event can occur in 'm' ways and a second event can occur independently in 'n' ways, then the two events can occur in m × n ways.

Front

How many outfits can be made with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

Back

80 outfits (5 × 8 × 2 = 80).

Front

If there are 3 types of sandwiches and 2 types of drinks, how many combinations can be made?

Back

6 combinations (3 sandwiches × 2 drinks = 6).

Front

What are the possible choices for sneakers if there are 2 styles, 2 fastenings, and 3 colors?

Back

12 styles (2 styles × 2 fastenings × 3 colors = 12).

Front

What does 'probability' mean in the context of outcomes?

Back

Probability is the measure of the likelihood that an event will occur, expressed as a ratio of favorable outcomes to total possible outcomes.

Front

How do you calculate the probability of getting plain crust with ham on pizza if there are 10 total options?

Back

1/10 (1 favorable outcome of plain crust with ham out of 10 total options).

Front

What is an example of a combination of a sandwich and a drink?

Back

Tuna sandwich with milk (TM).

Front

How can you represent combinations visually?

Back

Using a tree diagram to show all possible outcomes.

Front

What is the total number of combinations for Jason's outfit if he has 3 shirts and 4 pants?

Back

12 combinations (3 shirts × 4 pants = 12).