Conditional prob - venns

Front

What is Conditional Probability?

Back

The probability of an event occurring given that another event has already occurred.

Front

What does P(A | B) represent?

Back

The probability of event A occurring given that event B has occurred.

Front

What is the formula for Conditional Probability?

Back

P(A | B) = P(A and B) / P(B) if P(B) > 0.

Front

What does a Venn Diagram illustrate?

Back

A Venn Diagram visually represents the relationships between different sets, showing their intersections and unions.

Front

What does the shaded area in a Venn Diagram typically represent?

Back

The shaded area represents the outcomes that satisfy the conditions specified in the problem.

Front

What is the difference between 'A and B' and 'A or B' in probability?

Back

'A and B' refers to the intersection of sets A and B, while 'A or B' refers to the union of sets A and B.

Front

How do you calculate P(B | A)?

Back

P(B | A) = P(A and B) / P(A) if P(A) > 0.

Front

What does the term 'mutually exclusive' mean in probability?

Back

Two events are mutually exclusive if they cannot occur at the same time.

Front

What is the significance of the total area in a Venn Diagram?

Back

The total area represents the sample space, which includes all possible outcomes.

Front

What is the complement of an event?

Back

The complement of an event A is the set of outcomes in the sample space that are not in A.