Sample Space and Counting Principle

Front

What is a sample space?

Back

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

Front

What are the possible outcomes when flipping two coins?

Back

HH, HT, TH, TT

Front

What is the counting principle?

Back

The 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 many outcomes are there when rolling a standard die?

Back

6 outcomes: 1, 2, 3, 4, 5, 6.

Front

What outcomes are part of the event of rolling a number less than 4 on a die?

Back

1, 2, 3.

Front

How many ways can 3 different vases be arranged on a tray?

Back

6 ways.

Front

What is a tree diagram?

Back

A tree diagram is a drawing with branches that shows all possible outcomes of an event.

Front

If you draw a random card from a standard deck of cards, how many possible outcomes are there?

Back

52 possible outcomes.

Front

What is an event in probability?

Back

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

Front

What is the difference between a simple event and a compound event?

Back

A simple event consists of a single outcome, while a compound event consists of two or more simple events.