Anyone good at math (statistics) want calculate probabilities?

[octalc0de]

<p>

@Quelloquialism

So I’m no mathematician, but I can bang stuff in on a keyboard and watch it run. So I wrote a program which simulates the college admission process in the following manner–it converts the admit % from the 0-100 scale to a 0-1 scale by cleverly dividing by 100; then it generates a random number on [0, 1), and if this number is lower than the admit %, YOU’RE IN!!! I then proceeded to iterate this process 100,000,000 times

</p>

<p>Really? Monte carlo? You can write brute force really quickly and it’s tractable for n = 7:</p>

<p>

</p>

<h1>include <iostream></iostream></h1>

<p>using namespace std;</p>

<p>double prb[] = {.352, .28, .233, .092, .23, .268, .214};
int N = 7;</p>

<p>int main() {
  double ret[N+1];
  memset(ret, 0, sizeof(ret));
  for (int i = 0; i < (1 << N); ++i) {
    int j = i, schools = 0;
    double p = 1;
    for (int k = 0; k < N; ++k, j/=2) {
      if (j % 2) {
        schools++;
        p *= prb[k];
      } else {
        p *= (1.0 - prb[k]);
      }
    }
    ret[schools] += p;
  }</p>

<p>for (int i = 0; i <= N; ++i) {
    cout << "ridiculously flawed prb of exactly " << i << " is " << ret* << endl;
  }
}

</p>

<p>output
$ ./srslywhat
ridiculously flawed prb of exactly 0 is 0.14395
ridiculously flawed prb of exactly 1 is 0.327385
ridiculously flawed prb of exactly 2 is 0.311374
ridiculously flawed prb of exactly 3 is 0.160212
ridiculously flawed prb of exactly 4 is 0.0479807
ridiculously flawed prb of exactly 5 is 0.00830908
ridiculously flawed prb of exactly 6 is 0.000761542
ridiculously flawed prb of exactly 7 is 2.7869e-05</p>