Probability and Venn Diagrams

Front

What is the definition of 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 intersections and unions of those sets.

Front

How do you calculate the probability of an event?

Back

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

Front

What does the notation A ∩ B represent in probability?

Back

A ∩ B represents the intersection of sets A and B, which includes all elements that are common to both sets.

Front

What does the notation A ∪ B represent in probability?

Back

A ∪ B represents the union of sets A and B, which includes all elements that are in either set A, set B, or both.

Front

What is the complement of an event A, denoted as A^c?

Back

The complement of an event A, denoted as A^c, includes all outcomes in the sample space that are not in A.

Front

If 10 people purchased no food and no drink, what does this imply about the total surveyed?

Back

This implies that there are at least 10 people in the total surveyed group who did not participate in purchasing food or drink.

Front

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

Back

To find the probability of two independent events A and B occurring together, multiply their individual probabilities: P(A and B) = P(A) * P(B).

Front

What is the probability of a student earning a passing grade if 87 out of 100 students passed?

Back

The probability is calculated as P(passing) = 87/100 = 0.87 or 87%.

Front

How do you interpret the shaded region in a Venn diagram?

Back

The shaded region in a Venn diagram typically represents the outcomes that satisfy a specific condition or set of conditions.