Three children, Robert, Alice and Fred have to line up. To decide the order of
the line a teacher draws names from a hat. Each order of the line has the
same probability as any other order (i.e. the teacher cannot play favorites).
What is the probability of the event {Alice is not at the head of the line}?

Question

Three	children,	Robert,	Alice	and	Fred	have	to	line	up.	To	decide	the	order	of	
the	line	a	teacher	draws	names	from	a	hat.	Each	order	of	the	line	has	the	
same	probability	as	any	other	order	(i.e. the	teacher	cannot	play	favorites).	
What	is	the	probability	of	the	event	{Alice	is	not	at	the	head	of	the	line}?

anonymous · Answer

There's a 1/3 chance that she would be at the head of the line(because theres only one spot in front and 3 possible spots total).

Use that info wisely, it holds the solution to your problem