Module 12 Lesson 1 - Sample Spaces

Front

What is a sample space in probability?

Back

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

Front

Define the Fundamental Counting Principle.

Back

The Fundamental Counting Principle states that if one event can occur in 'm' ways and a second event can occur independently in 'n' ways, then the two events can occur in m × n ways.

Front

How do you represent a sample space using set notation?

Back

A sample space can be represented in set notation by listing all possible outcomes within curly braces, e.g., S = {outcome1, outcome2, outcome3}.

Front

If a coin is flipped, what is the sample space?

Back

The sample space is S = {Heads, Tails}.

Front

If a die is rolled, what is the sample space?

Back

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

Front

What is the probability of rolling a 3 on a fair six-sided die?

Back

The probability is 1/6, since there is one favorable outcome (rolling a 3) out of six possible outcomes.

Front

How many outcomes are there when flipping two coins?

Back

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

Front

What is the sample space for rolling a die and flipping a coin?

Back

The sample space is S = {(1, Heads), (1, Tails), (2, Heads), (2, Tails), (3, Heads), (3, Tails), (4, Heads), (4, Tails), (5, Heads), (5, Tails), (6, Heads), (6, Tails)}.

Front

If you have 3 shirts and 2 pairs of pants, how many outfit combinations can you make?

Back

You can make 3 × 2 = 6 outfit combinations.

Front

What is an event in probability?

Back

An event is a specific outcome or a set of outcomes from the sample space.