# Lets play with coins

1. Jan 8, 2016

### Cosmos

Mod note: Thread moved from technical math section, so homework template does not appear.
A fair coin is tossed 'n' times. Let a(n) denote the number of cases in which no two heads occur consecutively, then what is the value of a(16)?????

Last edited by a moderator: Jan 9, 2016
2. Jan 8, 2016

### Staff: Mentor

What do you think it is? What are the Relevant Equations? Is this a question from your schoolwork?

3. Jan 8, 2016

### Cosmos

No........But it involves a good trick (i think) instead of simply rather foolishly counting........

4. Jan 8, 2016

5. Jan 8, 2016

### jbriggs444

Doing it with a recurrence turns out very nicely.

6. Jan 8, 2016

### micromass

Markov Chains also work pretty nicely.

7. Jan 9, 2016

yes my boy

8. Jan 9, 2016

### Staff: Mentor

So what is the point of this thread?

~4% probability.

9. Jan 9, 2016

### phinds

My point exactly.
I do not appreciate the smarmy answer and if you know the solution then I agree with mfb. What's the point of this thread?

10. Jan 9, 2016

Staff Emeritus
Thus far the point has been "I know something you don't, nyah nyah nyah!" I certainly hope there is more to it soon.

11. Jan 9, 2016

### phinds

You don't really expect for there to be do you? I think you've already nailed it.

12. Jan 9, 2016

### Cosmos

Mod note: Edited post to remove insulting and condescending contents.
I know the 'ANSWER' but i don't know the 'SOLUTION'.......and i do hope for a very good method to get it..........

Last edited by a moderator: Jan 9, 2016
13. Jan 9, 2016

### micromass

OK, then this should be treated as any homework problem. So what have you tried?

14. Jan 9, 2016

### Staff: Mentor

Nor do I. The OP has earned an infraction for this.

15. Jan 9, 2016

### Cosmos

so
sorry sir

16. Jan 9, 2016

### Staff: Mentor

This is going nowhere. Thread closed.