Probability #2 (Venn Diagrams, Conditional)

Front

What is a Venn diagram?

Back

A Venn diagram is a visual representation of the relationships between different sets, often using overlapping circles to show commonalities and differences.

Front

What does the intersection of two sets in a Venn diagram represent?

Back

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

Front

What does the union of two sets in a Venn diagram represent?

Back

The union represents all elements that are in either set or in both sets.

Front

Define conditional probability.

Back

Conditional probability is the probability of an event occurring given that another event has already occurred.

Front

How do you calculate conditional probability?

Back

Conditional probability P(A|B) is calculated as P(A and B) / P(B), where A and B are two events.

Front

What does 'neither' mean in the context of a Venn diagram?

Back

'Neither' refers to elements that do not belong to either of the sets represented in the Venn diagram.

Front

If 60% of students play football and 30% play basketball, what is the probability that a student plays either sport?

Back

P(Football or Basketball) = P(Football) + P(Basketball) - P(Football and Basketball).

Front

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

Back

The shaded area represents the specific elements or conditions being highlighted, such as 'only' one of the sets.

Front

How can you find the number of elements in a set using a Venn diagram?

Back

Count the total number of elements in the universal set and subtract the elements in the other sets.

Front

What is the formula for the probability of the union of two events?

Back

P(A or B) = P(A) + P(B) - P(A and B).