AFDA D63: Tree Diagrams

Front

What is a tree diagram?

Back

A tree diagram is a visual representation used to show all possible outcomes of a sequence of events, often used in probability.

Front

How do you calculate the total number of outcomes in a tree diagram?

Back

Multiply the number of outcomes at each stage of the event. For example, rolling a die (6 outcomes) and flipping a coin (2 outcomes) gives 6 x 2 = 12 total outcomes.

Front

What is the probability of an event?

Back

The probability of an event is the number of favorable outcomes divided by the total number of possible outcomes.

Front

What are the possible outcomes when rolling a die?

Back

The possible outcomes are 1, 2, 3, 4, 5, and 6.

Front

What are the possible outcomes when flipping a coin?

Back

The possible outcomes are heads (H) and tails (T).

Front

If a die is rolled and a coin is flipped, what is the probability of rolling an even number and flipping a head?

Back

The probability is 3/12 or 1/4.

Front

What is the probability of tossing a head first and then a tail when a coin is tossed twice?

Back

The probability is 1/4.

Front

How many total outcomes are there when rolling a die and flipping a coin?

Back

There are 12 total outcomes.

Front

If you have 3 tops, 2 pants, and 2 shoes, how many total outfit options can you create?

Back

You can create 12 outfits.

Front

What is the probability that one die shows an even number and the other shows an odd number when two dice are rolled?

Back

The probability is 1/2.