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 many outcomes are there when tossing a coin?

Back

There are 2 outcomes: Heads (H) and Tails (T).

Front

How many outcomes are there when rolling a standard six-sided die?

Back

There are 6 outcomes: 1, 2, 3, 4, 5, and 6.

Front

What is the sample space for flipping two coins?

Back

The sample space is {HH, HT, TH, TT}.

Front

How do you calculate the total number of outcomes in a combined experiment?

Back

Multiply the number of outcomes of each individual experiment.

Front

If you flip a coin and roll a die, how many total outcomes are there?

Back

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

Front

What is a tree diagram?

Back

A tree diagram is a visual representation of all possible outcomes of an experiment.

Front

How many outcomes are there when choosing a vowel (a, e, i, o, u) and then a number (2 or 6)?

Back

There are 10 outcomes: 5 vowels x 2 numbers = 10.

Front

What is the sample space for choosing a sandwich (T, C, P) and a drink (M, W)?

Back

The sample space is {TM, TW, CM, CW, PM, PW}.

Front

What does it mean if two events are independent?

Back

Two events are independent if the outcome of one event does not affect the outcome of the other.