New to Java

how would you do this........write a method that repeatedly selects and removes a random entry from an array until the array holds no more entries

this is what i got

while ( count != array.length){

         int random = (int)(Math.random() * array.length ) ;
         if (array[random] != 0){
	array[random] = 0;
	count++;
         }
}

i'm assuming the array holds ints and i set the indexes to 0.