Sample Space

Front

What is a sample space?

Back

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

Front

How do you represent a sample space for flipping a coin?

Back

The sample space for flipping a coin is {H, T}, where H represents heads and T represents tails.

Front

What is the sample space for rolling a six-sided die?

Back

The sample space for rolling a six-sided die is {1, 2, 3, 4, 5, 6}.

Front

How do you find the total number of outcomes in a sample space?

Back

Multiply the number of options for each choice. For example, if there are 3 shirts and 2 pants, the total outcomes are 3 x 2 = 6.

Front

What is the sample space for flipping two coins?

Back

The sample space for flipping two coins is {HH, HT, TH, TT}.

Front

If Max can choose 4 types of protein and 3 types of vegetables for his salad, how many combinations can he create?

Back

Max can create 4 x 3 = 12 combinations.

Front

What does a tree diagram represent in probability?

Back

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

Front

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

Back

There are 2 (coin) x 6 (die) = 12 outcomes.

Front

What is the sample space for choosing a sandwich and a drink?

Back

If there are 3 sandwiches and 2 drinks, the sample space is {TM, TW, CM, CW, PM, PW}.

Front

What is the formula to calculate the number of outcomes in a sample space?

Back

The formula is: Total Outcomes = (Number of choices for event 1) x (Number of choices for event 2) x ...