H. Probability & Venn Diagrams

Front

What is probability?

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Front

What is a Venn diagram?

Back

A Venn diagram is a visual representation of the relationships between different sets, often used to illustrate the overlap between them.

Front

What is the formula for calculating the probability of an event?

Back

P(A) = Number of favorable outcomes / Total number of outcomes.

Front

What does it mean if the probability of an event is 0?

Back

It means that the event is impossible and will not occur.

Front

What does it mean if the probability of an event is 1?

Back

It means that the event is certain and will definitely occur.

Front

How do you calculate the probability of two independent events occurring together?

Back

P(A and B) = P(A) * P(B).

Front

What is conditional probability?

Back

Conditional probability is the probability of an event occurring given that another event has already occurred, denoted as P(A|B).

Front

What is the complement of an event?

Back

The complement of an event A is the event that A does not occur, denoted as A'. The probability of the complement is P(A') = 1 - P(A).

Front

If the probability of event A is 0.75, what is the probability of not A?

Back

P(not A) = 1 - P(A) = 0.25.

Front

In a Venn diagram, what does the intersection of two sets represent?

Back

The intersection of two sets represents the elements that are common to both sets.