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 outcomes when combining different options?

Back

Multiply the number of choices for each option together.

Front

If a car model has 6 trim levels, 5 colors, and 6 interiors, how many different versions can be created?

Back

180 different versions (6 x 5 x 6 = 180).

Front

What are the possible outcomes when flipping two coins?

Back

HH, HT, TH, TT.

Front

How do you determine the number of meal combinations from multiple choices?

Back

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

Front

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

Back

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

Front

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

Back

12 outcomes (2 outcomes for the coin x 6 outcomes for the die = 12).

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*n ways.

Front

What is the difference between a discrete and a continuous sample space?

Back

A discrete sample space consists of distinct, separate outcomes, while a continuous sample space includes an infinite number of possible outcomes within a range.

Front

What is the formula for calculating combinations?

Back

The formula for combinations is C(n, k) = n! / (k!(n-k)!), where n is the total number of items, and k is the number of items to choose.