Java - Flaw in andom number generator

I am creating a program that should randomly appoint which problem I will be doing for my Java midterm. I have created a program that runs 100,000 times and enters each question as a key in a hashmap, while its value is the number of counts generated out of 100,000. I have created the following simple program:

import java.util.*;

public class randomChoice{
  public static Map<Integer, Integer> dictionary = new HashMap<Integer, Integer>();

  public static void randInt() {
    Random rand = new Random();
    int randomNum = rand.nextInt((33 - 1) + 1) + 1;
    if (dictionary.containsKey(randomNum)){
      dictionary.put(randomNum, dictionary.get(randomNum) + 1);
    }else{
      dictionary.put(randomNum, 0);
    }
}
  public static void main(String[] args){
    int i = 0;
    while (i<100000){
      randInt();
      i++;
    }
    System.out.println(dictionary);
    Map.Entry<Integer, Integer> maxEntry = null;

    for (Map.Entry<Integer, Integer> entry : dictionary.entrySet()){
      if (maxEntry == null || entry.getValue().compareTo(maxEntry.getValue()) > 0){
        maxEntry = entry;
      }
    }
    System.out.println("\nThe question I will be using for the midterm is " + maxEntry.getKey() + " with a total count of " + maxEntry.getValue());
    int total = 0;
    for (Map.Entry<Integer, Integer> entry : dictionary.entrySet()){
      total = entry.getValue() + total;
    }
    System.out.println("\nTotal: " +total);
  }
}

My problem comes about when I try to add up all of the values of my HashMap (which is the frequency generated for each question out of 100,000). Here is the output that is generated, which prints the HashMap, the randomly picked question I will be doing that has the highest value, and lastly the total of all of the HashMap values :

> run randomChoice
{1=3038, 2=3025, 3=3009, 4=2945, 5=2996, 6=3049, 7=3004, 8=3078, 9=3011, 10=3012, 11=2995, 12=3041, 13=3116, 14=3015, 15=3029, 17=3058, 16=3141, 19=3045, 18=2976, 21=2988, 20=3065, 23=2943, 22=3106, 25=3025, 24=3093, 27=3092, 26=3058, 29=3018, 28=2981, 31=3035, 30=2970, 32=3007, 33=3003}

The question I will be using for the midterm is 16 with a total count of 3141

Total: 99967
> 

My question is, why is total coming out to 99967 instead of 100,000? Seems kind of fishy that it is EXACTLY 33 short and I have 33 questions to pick from. What am I doing wrong here? Where is my flaw which could help me create exactly 100,000 generated random numbers?