Probability with 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

How do you calculate the probability of an event?

Back

The probability of an event is calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

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

Back

A probability of 0 means that the event cannot occur.

Front

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

Back

A probability of 1 means that the event is certain to occur.

Front

What is the formula for the probability of the union of two events A and B?

Back

The formula is P(A ∪ B) = P(A) + P(B) - P(A ∩ B).

Front

What is the probability of the intersection of two events A and B?

Back

The intersection of two events A and B, denoted as P(A ∩ B), is the probability that both events occur simultaneously.

Front

How do you find the probability of 'not' an event?

Back

The probability of 'not' an event A is calculated as P(A') = 1 - P(A).

Front

What is the complement of an event?

Back

The complement of an event A, denoted as A', includes all outcomes that are not in A.

Front

In a Venn diagram, what does the area where two circles overlap represent?

Back

The overlapping area represents the outcomes that are common to both sets.