Probability: Tree Diagrams

Front

What is a tree diagram?

Back

A tree diagram is a visual representation used to show all possible outcomes of a probability experiment, branching out from a starting point.

Front

How do you calculate the total number of outfit combinations?

Back

Multiply the number of choices for each category: Total outfits = (number of tops) x (number of pants) x (number of shoes).

Front

What is the sample space in probability?

Back

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

Front

How do you find the probability of an event?

Back

Probability = (Number of favorable outcomes) / (Total number of possible outcomes).

Front

What is the probability of getting a specific outcome from a tree diagram?

Back

It is calculated by dividing the number of ways to achieve that outcome by the total number of outcomes represented in the tree diagram.

Front

If you have 3 choices for breakfast and 4 choices for drinks, how many total combinations can you make?

Back

Total combinations = (number of breakfast choices) x (number of drink choices) = 3 x 4 = 12.

Front

What does it mean if an event has a probability of 1/2?

Back

It means there is an equal chance of the event occurring or not occurring.

Front

What is an example of a compound event in probability?

Back

Choosing a shirt and a pair of pants together is a compound event, as it involves multiple choices.

Front

How do you represent outcomes in a tree diagram?

Back

Outcomes are represented as branches that split off from a starting point, showing all possible combinations.

Front

What is the probability of choosing a bagel and coffee for breakfast if there are 8 total outcomes?

Back

The probability is 1/8, as there is only 1 outcome that includes both a bagel and coffee.