Tree Diagrams

Front

What is a tree diagram?

Back

A tree diagram is a visual representation that shows all possible outcomes of a situation, branching out from a starting point.

Front

How do you determine the total number of combinations in a tree diagram?

Back

Multiply the number of choices at each level of the tree. For example, if there are 3 sandwiches and 2 drinks, the total combinations are 3 x 2 = 6.

Front

What is a sample space?

Back

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

Front

List the sample space for flipping two coins.

Back

HH, HT, TH, TT

Front

If Max can choose 4 types of protein and 3 types of vegetables for his salad, how many combinations can he create?

Back

12 combinations (4 proteins x 3 vegetables = 12).

Front

What does it mean to have a complete set of combinations?

Back

A complete set of combinations includes all possible outcomes without any omissions.

Front

How many combinations include tomatoes if Max has 4 protein choices and 3 vegetable choices?

Back

4 combinations (1 protein choice with tomatoes for each of the 4 proteins).

Front

What is the formula for calculating combinations?

Back

The formula is C(n, r) = n! / (r!(n-r)!), where n is the total items, and r is the number of items to choose.

Front

What is the significance of tree diagrams in probability?

Back

Tree diagrams help visualize and calculate the probabilities of different outcomes in a systematic way.

Front

How can tree diagrams help in decision making?

Back

They allow you to see all possible options and outcomes, making it easier to evaluate choices.