A survey on the best Asian tourist destinations showed that,...

A survey on the best Asian tourist destinations showed that, out of 70 people, 23 ranked Singapore as first, whereas 15 put Hong Kong in first place, 11 put Shanghai first, 7 put Beijing first, and the rest of them chose Tokyo. On the basis of this data, calculate the following. a. The probability of the preferred destination being a city in China. (In this specific case, Hong Kong is not considered part of China.) b. The probability of the preferred destination not being a Chinese city. (In this case, Hong Kong is considered a Chinese city, even if outside China.) c. The probability of the preferred destination being Tokyo. d. The probability of the preferred destination not being Singapore.

A survey on the best Asian tourist destinations showed that, out of 70 people, 23 ranked Singapore as first, whereas 15 put Hong Kong in first place, 11 put Shanghai first, 7 put Beijing first, and the rest of them chose Tokyo. On the basis of this data, calculate the following.
a. The probability of the preferred destination being a city in China. (In this specific case, Hong Kong is not considered part of China.)
b. The probability of the preferred destination not being a Chinese city. (In this case, Hong Kong is considered a Chinese city, even if outside China.)
c. The probability of the preferred destination being Tokyo.
d. The probability of the preferred destination not being Singapore.

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

Event Classification

Event classification involves categorizing outcomes based on certain conditions or criteria. In situations where definitions change—for example, whether a location is considered part of a particular region—accurate classification is crucial in determining the correct set of favorable outcomes.

Complement Rule

The complement rule states that the probability of an event not occurring is equal to one minus the probability of that event occurring. This rule simplifies the calculation of probabilities in cases involving 'not' scenarios.

Probability

Probability is the measure of how likely an event is to occur, calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes. This concept is fundamental in assessing risks and making predictions based on observed data.

Sample Space

The sample space is the complete set of all possible outcomes in a probabilistic experiment. In survey data, the sample space consists of every individual's response, which forms the basis for calculating probabilities of various events.

Counting Principles

Counting principles involve methods for enumerating the number of outcomes in different scenarios. When analyzing survey data, using simple counting methods to tally votes or responses is essential to determine the frequency of events.

Transcript

Please give Ace some feedback