Sample Space

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

There are 36 possible outcomes when rolling two dice (6 sides on the first die multiplied by 6 sides on the second die).

The sample space is {1, 1, 1, 1, 2, 3, 4, 4}, which includes the outcomes represented by the sections of the spinner.

You multiply the number of outcomes for the coin (2) by the number of outcomes for the die (6), resulting in 12 total outcomes.

Multiply the number of options: 4 trim levels x 5 colors x 3 interiors = 60 different versions.

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.

A tree diagram is a visual representation of all possible outcomes of a sequence of events, used to calculate probabilities.

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

The sample space for a single die roll is {1, 2, 3, 4, 5, 6}.

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.