Math 2-Unit 10 Midterm Review-Venn Diagram 2024-25

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

How do you calculate the probability of an event?

Back

Probability of an event = (Number of favorable outcomes) / (Total number of outcomes).

Front

What does P(D|M) represent in probability?

Back

P(D|M) represents the conditional probability of event D occurring given that event M has occurred.

Front

If a Venn Diagram shows the number of customers who bought apples and oranges, how do you find the probability of buying oranges?

Back

To find the probability of buying oranges, divide the number of customers who bought oranges by the total number of customers.

Front

What is the probability of a customer buying only apples if the Venn Diagram indicates 20 customers bought only apples out of 60 total customers?

Back

The probability is 20/60 or 1/3.

Front

How do you determine the probability of a customer not buying apples and oranges from a Venn Diagram?

Back

Subtract the number of customers who bought apples and/or oranges from the total number of customers.

Front

What does it mean if two events are independent in probability?

Back

Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.

Front

What is the formula for the union of two sets in a Venn Diagram?

Back

The formula for the union of two sets A and B is P(A ∪ B) = P(A) + P(B) - P(A ∩ B).

Front

How can you represent the intersection of two sets in a Venn Diagram?

Back

The intersection of two sets A and B is represented by the overlapping area of the circles representing A and B.

Front

What is the probability of a customer buying both apples and oranges if the Venn Diagram shows 10 customers bought both?

Back

The probability is 10/60 or 1/6.