Venn and Tree Diagrams

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 each section of a Venn diagram represent?

Back

Each section of a Venn diagram represents a specific subset of the total population being analyzed, with overlapping areas indicating shared characteristics.

Front

How do you determine the number of elements in a specific section of a Venn diagram?

Back

To determine the number of elements in a specific section, you need to analyze the data provided and account for overlaps between sets.

Front

What is the formula for calculating the probability of an event?

Back

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

Front

How do you calculate the probability of independent events occurring together?

Back

For independent events, the probability of both events occurring is the product of their individual probabilities.

Front

What is the significance of the complement of an event in probability?

Back

The complement of an event is the probability that the event does not occur, and it can be calculated as 1 minus the probability of the event occurring.

Front

What is a tree diagram in probability?

Back

A tree diagram is a graphical representation that shows all possible outcomes of a sequence of events, branching out from each event to illustrate subsequent possibilities.

Front

How can tree diagrams help in calculating probabilities?

Back

Tree diagrams help visualize the different outcomes and their associated probabilities, making it easier to calculate the overall probability of complex events.

Front

What is the difference between mutually exclusive and independent events?

Back

Mutually exclusive events cannot occur at the same time, while independent events do not affect each other's occurrence.

Front

How do you find the probability of mutually exclusive events?

Back

For mutually exclusive events, the probability of either event occurring is the sum of their individual probabilities.