Tree Diagrams and Fundamental Counting Principle 11.22.24

Front

What is a tree diagram?

Back

A tree diagram is a visual representation used to show all possible outcomes of a situation, 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

What are the possible combinations of sandwiches (T, C, P) and drinks (M, W)?

Back

TW, TM, CW, CM, PW, PM.

Front

What is a sample space in probability?

Back

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

Front

What is the sample space for flipping two coins?

Back

HH, HT, TH, TT.

Front

How many different pizzas can be made with 8 meats, 4 cheeses, 3 crust types, and 2 sauces?

Back

192 different pizzas (8 × 4 × 3 × 2 = 192).

Front

How many versions of a car model can be created with 4 trim levels, 5 colors, and 3 interiors?

Back

60 versions (4 × 5 × 3 = 60).

Front

What is a combination in probability?

Back

A combination is a selection of items where the order does not matter.

Front

What is a permutation in probability?

Back

A permutation is an arrangement of items where the order does matter.