Alg 2 Unit 11 Mod 8 Venn Diagrams and Sets Day 1

Front

What does a shaded region in a Venn diagram represent?

Back

The shaded region represents the intersection of the sets involved, indicating elements that belong to both sets.

Front

If B = {students with brown hair} and G = {students with glasses}, how do you find the number of students with both brown hair and glasses?

Back

Count the number of elements in the intersection of sets B and G.

Front

How do you determine the total number of students represented in a Venn diagram?

Back

Add the number of students in each individual set and subtract those counted in the intersection.

Front

What does the symbol ( ∪ ) represent in set theory?

Back

Union/OR, indicating all elements that are in either set.

Front

What does the symbol ( ∩ ) represent in set theory?

Back

Intersection/AND, indicating all elements that are common to both sets.

Front

How do you calculate the probability of an event in a Venn diagram?

Back

Divide the number of favorable outcomes by the total number of possible outcomes.

Front

If a Venn diagram shows 80 students and 6 do not play any sports, what is the probability that a randomly selected student does not play any sports?

Back

The probability is 6/80 or 1/80.

Front

What is the difference between a union and an intersection in set theory?

Back

Union combines all elements from both sets, while intersection includes only elements common to both sets.

Front

How can you visually represent the relationship between two sets?

Back

Using a Venn diagram, where circles represent the sets and their overlaps show intersections.

Front

What is the significance of the area outside the circles in a Venn diagram?

Back

It represents elements that do not belong to either of the sets.