Question

In a class of 30 students, 16 are Democrats, 4 are business majors, and 3 of the business majors are Democrats. If one student is randomly selected from the classfind the probability of choosing a Democrat or a business major

Answer 1

SOLUTION:

Step 1:

In this question, we are given the following:

In a class of 30 students, 16 are Democrats, 4 are business majors, and 3 of the business majors are Democrats. If one student is randomly selected from the class. Find the probability of choosing a Democrat or a business major​

Step 2:

The details of the solution are as follows:

$\begin{gathered} Probability\text{ \lparen democrat or Business major\rparen } \\ =\text{ Probability \lparen Democrat \rparen + Probability \lparen Business major \rparen - } \\ Probability\text{ \lparen Democrat \& Business major \rparen} \end{gathered}$$=\frac{16}{30}+\text{ }\frac{4}{30}-\frac{3}{30}$$=\frac{17}{30}$

CONCLUSION:

The probability of choosing a Democrat or a business major​ =

$\frac{17}{30}$