Venn & Tree Diagrams Review

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 the intersection of two sets in a Venn diagram represent?

Back

The intersection of two sets represents the elements that are common to both 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

If the probability of an event A is 0.6, what is the probability of event A not occurring?

Back

The probability of event A not occurring is 1 - 0.6 = 0.4.

Front

What does 'without replacement' mean in probability?

Back

'Without replacement' means that once an item is selected, it is not put back into the pool of possible selections, affecting the total number of items available for the next selection.

Front

In a Venn diagram, what does a circle represent?

Back

A circle in a Venn diagram represents a set of elements.

Front

How can you find the total number of elements in a union of two sets?

Back

The total number of elements in the union of two sets A and B is given by |A ∪ B| = |A| + |B| - |A ∩ B|.

Front

What is the formula for calculating the probability of two independent events A and B occurring?

Back

The probability of two independent events A and B occurring is P(A and B) = P(A) * P(B).

Front

What is a tree diagram?

Back

A tree diagram is a graphical representation used to show all possible outcomes of a sequence of events, branching out from a starting point.

Front

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

Back

To determine the total number of outcomes in a tree diagram, multiply the number of branches at each level.