Tree Diagrams, Compound Events and Outcomes

Front

What is a tree diagram?

Back

A visual representation used to show all possible outcomes of a probability experiment.

Front

What does a tree diagram help determine in a probability experiment?

Back

Possible outcomes.

Front

If you roll a die (6 outcomes) and flip a coin (2 outcomes), how many total outcomes are there?

Back

12 outcomes.

Front

What is the probability of drawing an orange marble followed by a green marble from a box containing 5 purple, 3 green, and 2 orange marbles without replacement?

Back

1/15.

Front

How many outfit combinations can you create with 3 tops, 2 pants, and 2 shoes?

Back

12 outfits.

Front

What is the difference between independent and dependent events?

Back

Independent events do not affect each other's outcomes, while dependent events do.

Front

If Amy picks a card from a deck and does not replace it before picking another, are the events independent or dependent?

Back

Dependent.

Front

What is the formula for calculating the total number of outcomes in a compound event?

Back

Multiply the number of outcomes for each individual event.

Front

What is a compound event in probability?

Back

An event that involves two or more simple events.

Front

How do you calculate the probability of two independent events occurring?

Back

Multiply the probabilities of each event.