Venn Diagrams, Tree Diagrams and Probability

Front

What is a Venn diagram used for?

Back

A Venn diagram is used to illustrate the relationships between different sets, showing how they overlap and interact.

Front

How do you calculate the probability of two independent events both occurring?

Back

Multiply the probabilities of each event. For example, P(A and B) = P(A) * P(B).

Front

What does a probability of 1 indicate about an event?

Back

A probability of 1 indicates that the event is certain to occur.

Front

What does a probability of 0 indicate about an event?

Back

A probability of 0 indicates that the event is impossible.

Front

In a tree diagram, what do the branches represent?

Back

The branches represent the possible outcomes of an event or series of events.

Front

How do you find the probability of an event that can occur in multiple ways?

Back

Add the probabilities of all the different ways the event can occur.

Front

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

Back

The probability of an event is calculated as P(E) = Number of favorable outcomes / Total number of outcomes.

Front

What is the complement of an event A, denoted as A'?

Back

The complement of event A includes all outcomes that are not in A.

Front

How do you represent the union of two events A and B?

Back

The union of two events A and B is represented as A ∪ B, which includes all outcomes in A, in B, or in both.

Front

What is the probability of picking a red pen from a box containing 3 red, 4 black, and 2 green pens?

Back

The probability is 3/9 or 1/3.