What is the Probability that a student is not taking either class?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The image depicts a Venn diagram within a rectangular box. The Venn diagram consists of two overlapping circles.

1. **Art Circle**: The left circle is labeled "Art" and contains the number 6, indicating that there are 6 students exclusively involved in art.

2. **Band Circle**: The right circle is labeled "Band" and contains the number 7, representing 7 students exclusively involved in band.

3. **Overlap**: The overlapping area of the two circles contains the number 10, indicating that there are 10 students involved in both art and band.

4. **Outside the Circles**: The number 3 is located outside both circles, inside the rectangle, representing 3 students who are neither in art nor in band.

This diagram is useful for visually representing the distribution and overlap of student involvement in art and band activities.
Transcribed Image Text:The image depicts a Venn diagram within a rectangular box. The Venn diagram consists of two overlapping circles. 1. **Art Circle**: The left circle is labeled "Art" and contains the number 6, indicating that there are 6 students exclusively involved in art. 2. **Band Circle**: The right circle is labeled "Band" and contains the number 7, representing 7 students exclusively involved in band. 3. **Overlap**: The overlapping area of the two circles contains the number 10, indicating that there are 10 students involved in both art and band. 4. **Outside the Circles**: The number 3 is located outside both circles, inside the rectangle, representing 3 students who are neither in art nor in band. This diagram is useful for visually representing the distribution and overlap of student involvement in art and band activities.
c) What is the probability that a student is not taking either class?
Transcribed Image Text:c) What is the probability that a student is not taking either class?
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