public class DecideDancePair {

DecideDancePair ddp1;
StringBuffer ddp2 = new StringBuffer();

public static void main(String[] args) {

new Thread(new Runnable() {

@Override
public void run() {
synchronized (DecideDancePair.class) {
System.out.println("Its weekend .... Hey Guys !! this is Nancy , who will dance with me? ");
}

}
}).start();

new Thread(new Runnable() {

@Override
public void run() {

synchronized (new DecideDancePair().ddp1) {
System.out.println("Hey Nancy !! this is Peter , I will dance with you.");
}

}
}).start();

new Thread(new Runnable() {

@Override
public void run() {
synchronized (new DecideDancePair().ddp2) {
System.out.println("Hey Nancy !! this is Rozer , I will dance with you.");
}

}
}).start();

}

}

==============================

Answer :
My new post is going to take little more time so thought of to post solution of this problem.

Nancy will always go for dance because she having Lock over a object which is not NULL. same with Rozer , he is also having a non-NULL lock. while poor Peter is caught with NULL object Lock so that piece of code will throw exception below and Hence Nancy and Rozer will de in dance 🙂 !!!

Code execution will looks like :

Its weekend .... Hey Guys !! this is Nancy , who will dance with me? 
Exception in thread "Thread-1" Hey Nancy !! this is Rozer , I will dance with you.
java.lang.NullPointerException
	at BasicConcepts.DecideDancePair$2.run(DecideDancePair.java:26)
	at java.lang.Thread.run(Thread.java:745)