Sample Spaces & Tree Diagrams

Front

What is a sample space?

Back

The set of all possible outcomes of a random experiment.

Front

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

Back

12 outcomes (2 outcomes from the coin and 6 from the die: 2 x 6 = 12).

Front

What is a tree diagram?

Back

A drawing with branches that represents all possible outcomes of an event.

Front

How many total outfit options can be created with 3 shirts and 4 pants?

Back

12 outfit options (3 shirts x 4 pants = 12).

Front

What is the sample space for a spinner with 8 equal sections numbered 1 to 8?

Back

{1, 2, 3, 4, 5, 6, 7, 8}.

Front

If you roll two dice, how many possible outcomes are there?

Back

36 possible outcomes (6 sides on the first die x 6 sides on the second die = 36).

Front

What is the probability of rolling a sum of 7 with two dice?

Back

There are 6 combinations that result in a sum of 7 out of 36 total outcomes, so the probability is 6/36 or 1/6.

Front

Define independent events in probability.

Back

Events that do not affect each other's outcomes.

Front

What is the formula for calculating the total number of outcomes in a sample space?

Back

Multiply the number of outcomes for each independent event.

Front

What does it mean if an event is mutually exclusive?

Back

Two events that cannot occur at the same time.