# Adding 3 numbers mystery in for loop • ### Question

• Hello!

I have a mystery problem. The goal with this loop is to get the average number as close to 100 as possible but I always get the number around 106.75 more or less exactly.

I use a loop and Random.

- With 43% chance I add the number 43

- With 35% chance I add the number 35

- With 22% chance I add the number 22

I do 1 million(1000000) iterations to get a good average which should be as I am thinking:

43 + 35 + 22 = 100

But I do get 106.75. I am not sure why this is happening?

```            double total = 0;
for (int i = 0; i < 1000000; i++)
{
double sum1 = 0;
for (int t = 0; t < 3; t++)
{
randnum = rand.Next(0, 100000); double sum2 = 0;
if (randnum >= 0 && randnum < 43000) { sum2 = 43; } //43% chance to add 43
if (randnum >= 43000 && randnum < 78000) { sum2 = 35; } //35% chance to add 35
if (randnum >= 78000 && randnum <= 100000) { sum2 = 22; } //22% chance to add 22
sum1 = sum1 + sum2;
}
total = total + sum1;
}
total = total / 1000000;
MessageBox.Show(total.ToString());```

• Edited by Thursday, November 29, 2018 11:09 PM
Thursday, November 29, 2018 11:02 PM

• Greetings Silvers.

If you want an average of 100, that means you want 43, 35, and 22 to be chosen an equal number of times. That means those three numbers need to have an equal probability of being randomly chosen, not a biased probability.

```            for (int t = 0; t < 3; t++)
{
randnum = rand.Next(0, 100000); double sum2 = 0;
if (randnum >= 1 && randnum <= 33333) { sum2 = 43; }
else if (randnum > 33333 && randnum <= 66666) { sum2 = 35; }
else if (randnum > 66666 && randnum <= 100000) { sum2 = 22; }
sum1 = sum1 + sum2;
}```

• Marked as answer by Thursday, November 29, 2018 11:29 PM
Thursday, November 29, 2018 11:21 PM

### All replies

• Greetings Silvers.

If you want an average of 100, that means you want 43, 35, and 22 to be chosen an equal number of times. That means those three numbers need to have an equal probability of being randomly chosen, not a biased probability.

```            for (int t = 0; t < 3; t++)
{
randnum = rand.Next(0, 100000); double sum2 = 0;
if (randnum >= 1 && randnum <= 33333) { sum2 = 43; }
else if (randnum > 33333 && randnum <= 66666) { sum2 = 35; }
else if (randnum > 66666 && randnum <= 100000) { sum2 = 22; }
sum1 = sum1 + sum2;
}```

• Marked as answer by Thursday, November 29, 2018 11:29 PM
Thursday, November 29, 2018 11:21 PM
• Ante,

Yes you are right.. stupid me :) I was banging my head to the wall for sometime :)

Thank you very much for your help!!!

Best Regards

Thursday, November 29, 2018 11:29 PM
• No worries.
Thursday, November 29, 2018 11:42 PM