Probability function of people at a party.

Question

David 2013-10-2

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/88924-probability-function-of-people-at-a-party

评论： David 2013-10-2

So, you're asked to write a function that computes the probability of two people at a party having the same birthday. The probability function itself is

P(n) = 0, n = 1

P(n) = 1 - (capital pi from k = 1 to k = n - 1)(1 - k/365), 2 <=n <= 365

P(n) = 1, n >= 366

The function is used to calculate the minimum value of m (your chosen n)n for which P(m) >= q. Where q (0, 1], i.e. an arbitrary probability. The function should accept q as an input and return m as an output.Here's my code:

function [m] = Prob(q)
m = 0; %assign m initial value of 0
P = 0; %assign P a value of 0 for now so that while loop will start
while P < q %runs until P >= q
      m = m + 1; %increments m as long as condition above is true
      if m == 1 %checks first condition
          P = 0;
      elseif m >= 2 && m <= 365 %checks second condition
          S = 1; %variable that stores the product of (1 - k/365) from 1 -> m-1
          for k = 1: m - 1 
              S = S * (1 - k/365);
          P = 1 - S; %calculates P by subtracting S(the total product) from 1                                      
      else %checks third condition
        P = 1; %assigned 1 if m >= 365
      end
end
Does this seem ok? So hard to debug it when you're not actually in MATLAB.

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Image Analyst 2013-10-2

Why not wait until you have MATLAB running to debug it yourself rather than asking us to do it now for you?

David 2013-10-2

I'm not so much asking ye to debug it yourselves as to have a quick look at the concept of the code and see if it makes general sense. I can refine it myself later on.

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