Sample Space

Front

What is a sample space?

Back

The sample space is the set of all possible outcomes of a probability experiment.

Front

How do you calculate the total number of outfit combinations?

Back

Multiply the number of choices for each category (e.g., tops, pants, shoes). For example, 3 tops x 2 pants x 2 shoes = 12 outfits.

Front

What is a tree diagram?

Back

A tree diagram is a visual representation that shows all possible outcomes of a probability experiment, branching out from a starting point.

Front

If a cafeteria serves 3 types of sandwiches and 2 types of drinks, how many combinations can you make?

Back

You can make 3 sandwiches x 2 drinks = 6 combinations.

Front

What does 'combinations' mean in probability?

Back

Combinations refer to the different ways in which items can be selected or arranged.

Front

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

Back

The formula is: Total Outcomes = n1 x n2 x n3 ... where n1, n2, n3 are the number of choices in each category.

Front

What is an example of a sample space for rolling a die?

Back

The sample space is {1, 2, 3, 4, 5, 6}.

Front

What is the difference between a sample space and an event?

Back

A sample space is the set of all possible outcomes, while an event is a specific outcome or a set of outcomes from the sample space.

Front

How many outcomes are there when flipping a coin twice?

Back

There are 4 outcomes: {HH, HT, TH, TT}.

Front

What is the importance of understanding sample space in probability?

Back

Understanding sample space helps in calculating probabilities and making predictions about outcomes.