Javascript Random Integer Between two Numbers

Generating random whole numbers in JavaScript in a specific range?

/**
 * Returns a random number between min and max
 */
function getRandomArbitary (min, max) {
    return Math.random() * (max - min) + min;
}

/**
 * Returns a random integer between min and max
 * Using Math.round() will give you a non-uniform distribution!
 */
function getRandomInt (min, max) {
    return Math.floor(Math.random() * (max - min + 1)) + min;
}

http://roshanbh.com.np/2008/09/get-random-number-range-two-numbers-javascript.html

//function to get random number upto m
function randomXToY(minVal,maxVal,floatVal)
{
    var randVal = minVal+(Math.random()*(maxVal-minVal));
    return typeof floatVal=='undefined'?Math.round(randVal):randVal.toFixed(floatVal);
}

or

Generate random number between two numbers in JavaScript

Your problem is you never converted your string to numbers try adding this

if (  numCount.match(/^[\d]*$/ ) && 
    randNumMin.match(/^[\d]*$/ ) && 
    randNumMax.match(/^[\d]*$/ )){
  if (numCount === "" || randNumMin === "" || randNumMax === "")  {
    alert ("Please fill out all forms then try again.");
  } else {
    numCount=numCount-0;randNumMin=randNumMin-0;randNumMax=randNumMax-0;

Another note you need to change your checking if the value is an empty string to strict equality. To see what I mean try using zero for one of the values. 0 == ""//returns true because both are falsy 0 === ""//returns false.