Venn and Tree Diagrams

Front

What is a Venn diagram?

Back

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

Front

What does A∩B represent in a Venn diagram?

Back

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

Front

What does A∪B represent in a Venn diagram?

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 a set A, denoted A'?

Back

The complement of a set A, denoted A', includes all elements that are not in set A.

Front

How do you calculate the total number of outcomes in a tree diagram?

Back

To calculate the total number of outcomes in a tree diagram, multiply the number of outcomes for each stage of the event.

Front

If a die is rolled and a coin is flipped, how many total outcomes are there?

Back

There are 12 total outcomes: 6 outcomes from the die (1-6) and 2 outcomes from the coin (heads or tails), so 6 x 2 = 12.

Front

What is the probability of rolling an even number on a die?

Back

The probability of rolling an even number (2, 4, or 6) on a die is 3/6 or 1/2.

Front

What is the probability of rolling an even number and flipping a head?

Back

The probability of rolling an even number (3 outcomes) and flipping a head (1 outcome) is 3/12 or 1/4.

Front

How do you find the number of elements in the complement of a set?

Back

To find the number of elements in the complement of a set, subtract the number of elements in the set from the total number of elements in the universal set.

Front

What does A'∩B' represent in a Venn diagram?

Back

A'∩B' represents the intersection of the complements of sets A and B, which includes all elements that are neither in A nor in B.