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.

Tags

CCSS.7.SP.C.8B

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.

Tags

CCSS.7.SP.C.8B

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.

Tags

CCSS.7.SP.C.8B

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.

Tags

CCSS.7.SP.C.8B

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.

Tags

CCSS.7.SP.C.8B