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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

User Jwalker
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1 Answer

23 votes
23 votes

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}
=(16)/(30)+\text{ }(4)/(30)-(3)/(30)
=(17)/(30)

CONCLUSION:

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


(17)/(30)

User AlfredBaudisch
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2.9k points
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