**article aims**to determine the category of a given

**statement**and whether the given statement is an example of

**empirical, classical**, or

**subjective probability. This article uses the concept of three types of probabilities.**

**Classical probability**

**Classical probability**can only be used if a

**finite number of possibilities**have the

**same probability**. As such, it isn’t easy to find classic

**examples of probability**in real life because most things in life do not have the same probability. You use classical probability when you’re guessing on a multiple-choice test. Let’s say you have

**four choices**: $ A $, $ B $,$ C $, and $ D $. Each choice in the question has an

**equal chance of being correct**, meaning you have a $ 25\% $

**chance of getting the question right.**

**Subjective probability**

**Subjective probability**is based on your belief. For example, you can “feel” a lucky streak.

**Empirical probability**

**Empirical probability**is based on experiments. You

**physically perform**experiments and

**calculate a probability**from your results.

**Expert Answer**

The **given statement**is “The

**probability that a newborn baby is a boy**is $ \dfrac { 1 }{ 2 } $”.

**Classical Probability**If

**each result in the sample space**is

**equally likely to occur**, then it is a

**classical probability.**

**Empirical Probability**

**Empirical probability**is based on

**observations obtained from probability**experiments.

**Empirical probability**of an event is the

**relative frequency**of the occurrence.

**Subjective Probability**

**Probabilities result from intuition**,

**educated guesses**, and

**guesswork**, and the probability is called

**subjective probability**. Here, the claim is most likely based on

**empirical probability**. Thus, the

**statement**“The

**probability that the newborn**is a boy is $ \dfrac { 1 } { 2 } $ ” is an example of an

**empirical probability**.

**Numerical Result**

The **statement**“The

**probability that the newborn**is a boy is $ \dfrac { 1 } { 2 } $ ” is an example of an

**empirical probability**.

**Example**

**Classify given statement as an example of classical, empirical, or subjective probability. The probability that the number is $ 6 $ when we roll a fair die is $ \dfrac { 1 } { 6} $.**

**(a) classical**

**(b) empirical**

**(c) subjective**

**Solution**The

**given statement**“The

**probability that the number**is $ 6 $ when we roll a fair die is $ \dfrac { 1 } { 6 } $” is an example of

**classical probability.**

**Classical Probability**

**Classical probability**is a

**statistical concept**that measures the

**probability**(likelihood) that

**something will happen**. In the

**classical sense**, every

**statistical experiment**will contain elements that are

**equally likely**to happen (equal chances of something occurring). Therefore, the

**concept of classical probability**is the simplest form of probability that has an

**equal probability**of something

**happening.**Like when we toss a coin, the chances of a

**head or tail**are equally likely. Hence the

**given statement**“The

**probability that the number**is $ 6 $ when we roll a fair die is $ \dfrac { 1 } { 6 } $.” is an example of

**classical probability.**

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