Sample Space

Front

What is a sample space in probability?

Back

A sample space is the set of all possible outcomes of a random experiment.

Front

How do you calculate the total number of outfit combinations from different clothing items?

Back

Multiply the number of choices for each category of clothing (e.g., shirts, pants, shoes).

Front

If a coin is tossed and a die is rolled, how many total outcomes are possible?

Back

There are 2 outcomes for the coin (heads or tails) and 6 outcomes for the die, resulting in 2 x 6 = 12 total outcomes.

Front

What is the formula for finding the number of combinations in a meal selection?

Back

Multiply the number of choices in each category (e.g., salads, entrees, beverages).

Front

How many outfit combinations can be made with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

Back

The total combinations are 5 x 8 x 2 = 80.

Front

What does a tree diagram represent in probability?

Back

A tree diagram visually represents all possible outcomes of a series of events.

Front

What is the principle of counting in probability?

Back

The principle of counting states that if one event can occur in 'm' ways and a second can occur independently in 'n' ways, then the two events can occur in m x n ways.

Front

How do you determine the number of outcomes for multiple independent events?

Back

Multiply the number of outcomes for each independent event.

Front

What is the significance of understanding sample spaces in probability?

Back

Understanding sample spaces helps in calculating probabilities and analyzing outcomes.

Front

How can you represent outcomes visually?

Back

Outcomes can be represented using tree diagrams, tables, or lists.