Using Map/Reduce, you can certainly get a random record, just not necessarily very efficiently depending on the size of the resulting filtered collection you end up working with.
I've tested this method with 50,000 documents (the filter reduces it to about 30,000), and it executes in approximately 400ms on an Intel i3 with 16GB ram and a SATA3 HDD...
db.toc_content.mapReduce(
/* map function */
function() { emit( 1, this._id ); },
/* reduce function */
function(k,v) {
var r = Math.floor((Math.random()*v.length));
return v[r];
},
/* options */
{
out: { inline: 1 },
/* Filter the collection to "A"ctive documents */
query: { status: "A" }
}
);
The Map function simply creates an array of the id's of all documents that match the query. In my case I tested this with approximately 30,000 out of the 50,000 possible documents.
The Reduce function simply picks a random integer between 0 and the number of items (-1) in the array, and then returns that _id from the array.
400ms sounds like a long time, and it really is, if you had fifty million records instead of fifty thousand, this may increase the overhead to the point where it becomes unusable in multi-user situations.
There is an open issue for MongoDB to include this feature in the core... https://jira.mongodb.org/browse/SERVER-533
If this "random" selection was built into an index-lookup instead of collecting ids into an array and then selecting one, this would help incredibly. (go vote it up!)