Venn Diagram Probability

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 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 includes all elements that are not in set A.

Front

How do you calculate the probability of an event?

Back

Probability is calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

If 80 students are surveyed and 31 play all three sports, what is the probability that a randomly selected student plays all three sports?

Back

The probability is 31/80.

Front

How many students play only football if 9 play both football and wrestling and 18 play football in total?

Back

9 students play only football.

Front

What is the formula for finding the number of elements in the union of two sets?

Back

The formula is |A∪B| = |A| + |B| - |A∩B|.

Front

If 28 students do not snowboard out of 80, how many do snowboard?

Back

52 students snowboard (80 - 28 = 52).

Front

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

Back

The shaded area often represents the intersection or union of the sets, depending on the context of the question.