Suppose that in a particular Finite course, 4/7 of students plan on majoring in math, 25/42 plan on majoring in communications, and 2/7 plan on doublemajoring in math and communications. How many want to major in exactly one of communications or math?

Given that, in a particular finite course, 47 of students plans majoring in math, 2542 plans…

Answered: Suppose that in a particular Finite…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose that in a particular Finite course, 4/7 of students plan on majoring in math, 25/42 plan on majoring in communications, and 2/7 plan on double
majoring in math and communications. How many want to major in exactly one of communications or math?

Expert Solution

Step 1

Given that, in a particular finite course, $\frac{4}{7}$ of students plans majoring in math, $\frac{25}{42}$ plans majoring in communication, and $\frac{2}{7}$ plans dual majoring in both math and communications.

Let $m$ denotes total number of people majoring in math and $c$ denotes total number of people majoring in communications.

Therefore using above given conditions, we have:

$\begin{array}{rcl} P (m) & = & \frac{4}{7} \\ P (c) & = & \frac{25}{42} \\ P (m \cap c) & = & \frac{2}{7} \end{array}$

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