Question

I need to know the answer to this question please

Answer 1

Notice that there are no intersections between the different categories; for example, there are no students who would rather take an English class and a history class.

In general, if A and B are two independent events,

`\begin{gathered} A,B\rightarrow\text{ independent events} \\ \Rightarrow P(A\cap B)=P(A)P(B) \end{gathered}`

In our case, for example, the probability of a student being male and choosing history is

`\begin{gathered} P(Male\cap History)=(10)/(88) \\ while \\ P(Male)*P(History)=(40)/(88)*(22)/(88)=(880)/(88^2)=(10)/(88) \end{gathered}`

Thus, the events are independent.

The answer is 'This table is an example of the principle of independence. The first option.