Here's the program:

#include <stdio.h>And here are the results:

#include <stdlib.h>

#include <ctype.h>

#include <conio.h>

#include <time.h>

/* Macro to get a random integer within a specified range */

#define getrandom( min, max ) ((rand() % (int)(((max)+1) - (min))) + (min))

int main() {

int probability, count, result;

long total;

/* Seed the random number generator with current time. */

srand( (unsigned)time( NULL ) );

for (probability = 50; probability >= 1; probability--) {

total = 0L;

for (count = 1; count < 1000; count++) {

result = 0;

while (getrandom(1,100) > probability) result++;

total += result;

}

printf("%2d%% calculated=%6.2f simulated=%6.2f\n", probability, (100 - (float) probability) / (float) probability, (float) total / (float) count);

}

}

50% calculated= 1.00 simulated= 0.97Close enough that I'd say the difference is likely due to not doing enough trials (I did 1000 for each probability) and inaccuracies in the floating point math and random number generation I used.

49% calculated= 1.04 simulated= 1.07

48% calculated= 1.08 simulated= 1.09

47% calculated= 1.13 simulated= 1.09

46% calculated= 1.17 simulated= 1.19

45% calculated= 1.22 simulated= 1.22

44% calculated= 1.27 simulated= 1.22

43% calculated= 1.33 simulated= 1.37

42% calculated= 1.38 simulated= 1.41

41% calculated= 1.44 simulated= 1.54

40% calculated= 1.50 simulated= 1.52

39% calculated= 1.56 simulated= 1.67

38% calculated= 1.63 simulated= 1.64

37% calculated= 1.70 simulated= 1.66

36% calculated= 1.78 simulated= 1.71

35% calculated= 1.86 simulated= 1.97

34% calculated= 1.94 simulated= 1.89

33% calculated= 2.03 simulated= 1.95

32% calculated= 2.13 simulated= 2.20

31% calculated= 2.23 simulated= 2.30

30% calculated= 2.33 simulated= 2.33

29% calculated= 2.45 simulated= 2.41

28% calculated= 2.57 simulated= 2.55

27% calculated= 2.70 simulated= 2.78

26% calculated= 2.85 simulated= 2.81

25% calculated= 3.00 simulated= 2.91

24% calculated= 3.17 simulated= 3.17

23% calculated= 3.35 simulated= 3.38

22% calculated= 3.55 simulated= 3.73

21% calculated= 3.76 simulated= 3.77

20% calculated= 4.00 simulated= 4.07

19% calculated= 4.26 simulated= 4.19

18% calculated= 4.56 simulated= 4.70

17% calculated= 4.88 simulated= 4.93

16% calculated= 5.25 simulated= 5.38

15% calculated= 5.67 simulated= 5.52

14% calculated= 6.14 simulated= 6.11

13% calculated= 6.69 simulated= 6.66

12% calculated= 7.33 simulated= 7.29

11% calculated= 8.09 simulated= 8.41

10% calculated= 9.00 simulated= 9.20

9% calculated= 10.11 simulated= 9.97

8% calculated= 11.50 simulated= 11.09

7% calculated= 13.29 simulated= 12.98

6% calculated= 15.67 simulated= 15.47

5% calculated= 19.00 simulated= 18.58

4% calculated= 24.00 simulated= 24.61

3% calculated= 32.33 simulated= 33.43

2% calculated= 49.00 simulated= 47.77

1% calculated= 99.00 simulated=101.59

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