Is Calculus Required to Determine the Probability of Drawing a Black Ball?

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The discussion centers on a probability problem involving a box with 8 black and 10 white balls. The main question is about calculating the probability of drawing a black ball, which is determined using basic arithmetic rather than calculus. Participants emphasize that understanding fundamental probability concepts is sufficient for solving this problem. There is confusion about the relevance of calculus, as it is not needed for this straightforward calculation. The consensus is that the problem can be solved without any advanced mathematical techniques.
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Need help to solve calculus problem

A box contains 8 black and 10 white balls. One ball is drawn at random. What is the probability that the ball drawn is black?

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This problem is very simple. What have you learned about probability in class so far?
 
There is certainly no "Calculus" involved here, just basic arithmetic. And knowing the basic definitions, of course.
 
burgess said:
Need help to solve calculus problem
Why do you think this calculus is involved in this problem?
 
I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
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