Tree Diagrams

Front

What is a tree diagram?

Back

A tree diagram is a visual representation that shows all possible outcomes of a probability experiment.

Front

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

Back

Multiply the number of outcomes for each 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

If you roll a die, what are the possible outcomes?

Back

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

Front

What is the probability of rolling a number less than 6 on a die?

Back

The probability is 5/6, since the favorable outcomes are 1, 2, 3, 4, and 5.

Front

What does it mean to flip a coin?

Back

Flipping a coin means tossing it in the air to see which side (heads or tails) lands facing up.

Front

What is the probability of flipping heads on a fair coin?

Back

The probability is 1/2, since there are two possible outcomes: heads or tails.

Front

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

Back

There are 12 outcomes: 6 outcomes from the die multiplied by 2 outcomes from the coin.

Front

What is a favorable outcome?

Back

A favorable outcome is an outcome that satisfies the conditions of the event we are interested in.

Front

What is the probability of getting plain crust with ham on your pizza if there are 10 total options?

Back

The probability is 1/10, assuming there is only 1 option for plain crust with ham.