## Welcome to the Treehouse Community

The Treehouse Community is a meeting place for developers, designers, and programmers of all backgrounds and skill levels to get support. Collaborate here on code errors or bugs that you need feedback on, or asking for an extra set of eyes on your latest project. Join thousands of Treehouse students and alumni in the community today. (Note: Only Treehouse students can comment or ask questions, but non-students are welcome to browse our conversations.)

### Looking to learn something new?

Treehouse offers a seven day free trial for new students. Get access to thousands of hours of content and a supportive community. Start your free trial today.

# Shuffle Function Explanation

Can someone provide a detailed explanation of how the variable assignments in the last few lines of this shuffle function work? I've copied the code twice, once with comments so you can see what I (think) I understand and once without for readability.

```function shuffle(arr) {
var j, x, i;
for (i = arr.length - 1; i > 0; i--) {  // the counter is se to equal the length of the deck -1
//and run until the counter reaches 0. -1 accounts for the 0 index.
j = Math.floor(Math.random() * (i + 1)); // j is equal to a random number between 1 and the // length of the passed in array which should be 52 since the array hold a deck of cards.
x = arr[i];    // x is set to equal the card found at the counter index number
arr[i] = arr[j];  //Unless the comments above are wrong, I think this is where I get lost.
arr[j] = x;
}
return arr;
}
```
```function shuffle(arr) {
var j, x, i;
for (i = arr.length - 1; i > 0; i--) {
j = Math.floor(Math.random() * (i + 1)); //generates a random number between 1 and the number of cards in deck or length of array in other words
x = arr[i];
arr[i] = arr[j];
arr[j] = x;
}
return arr;
}
```

Michael

I found a fantastic video, which gives a detailed breakdown of this function. It's based on the "Fisher-Yates" algorithm. The loop moves backward through the deck and swaps the place of each card with another card in the deck. As the counter moves down, the range of random numbers between 1 and i is also getting smaller. I'm going to try to break down the code I had trouble with in my original comment.

```//x is set to the value of the card found at the current index, which moves backwards through
//the array one by one.
x = arr[i];

//The next two lines swap the places of the card at the decrementing index value with the card at the random number index
arr[i] = arr[j];
arr[j] = x;
``` ```      j = Math.floor(Math.random() * (i + 1)); // j is equal to a random number between 0 and the current index
```      if (i != j)                             // do nothing if the indexes are the same