On a sample of 1,500 people in Sydney, Australia, 89 have no...

On a sample of 1,500 people in Sydney, Australia, 89 have no credit cards (event $A$ ), 750 have one (event $B$ ), 450 have two (event $C$ ) and the rest have more than two (event $D$ ). On the basis of the data, calculate each of the following. a. The probability of event $A$ b. The probability of event $D$ c. The complement of event $B$ d. The complement of event $C$ e. The probability of event $A$ or $D$

On a sample of 1,500 people in Sydney, Australia, 89 have no credit cards (event $A$ ), 750 have one (event $B$ ), 450 have two (event $C$ ) and the rest have more than two (event $D$ ). On the basis of the data, calculate each of the following.
a. The probability of event $A$
b. The probability of event $D$
c. The complement of event $B$
d. The complement of event $C$
e. The probability of event $A$ or $D$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Complement

The complement of an event includes all outcomes in the sample space that are not part of the event. Its probability is calculated as one minus the probability of the event itself, which is useful for finding the likelihood that an event does not occur.

Event

An event is a specific outcome or a set of outcomes from the sample space that we are interested in. It represents the scenario or condition whose probability is being determined, such as having a certain number of credit cards.

Union of Events

The union of events denotes the situation where at least one of multiple events occurs. In probability, this involves combining the probabilities of individual events and adjusting for any overlap between them, ensuring accurate computation for cases where the events are not mutually exclusive.

Probability

Probability is a measure of how likely an event is to occur, defined as the ratio of the number of favorable outcomes to the total number of outcomes in the sample space. It allows us to quantify uncertainty and make informed predictions based on data.

Sample Space

The sample space is the complete set of possible outcomes in a probability experiment. It provides the context for calculating probabilities by indicating all the potential results that can occur in a given situation.

Transcript

Please give Ace some feedback