Probability, Sample Space

Front

What is probability?

Back

Probability is a measure of how likely an event is to occur, expressed as a number between 0 (impossible) and 1 (certain).

Front

What is a sample space?

Back

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

Front

How many outcomes are there when flipping one coin?

Back

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

Front

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

Back

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

Front

What does it mean if an event is 'certain'?

Back

It means that the event will definitely happen, with a probability of 1.

Front

What does it mean if an event is 'impossible'?

Back

It means that the event cannot happen at all, with a probability of 0.

Front

What is a tree diagram?

Back

A tree diagram is a visual representation that shows all possible outcomes of an event.

Front

If you flip two coins, how many possible outcomes are there?

Back

There are 4 possible outcomes: HH, HT, TH, TT.

Front

What is the probability of rolling an even number on a six-sided die?

Back

The probability is 3/6 or 1/2, since there are three even numbers (2, 4, 6) out of six possible outcomes.

Front

What is an example of a sample space for rolling a die?

Back

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