tortoise and hare?

17 views
Skip to first unread message

John Hanna

unread,
Jan 31, 2022, 12:25:25 PM1/31/22
to tins...@googlegroups.com

 

Greetings, folks,

 

I’ve been working on a ‘tortoise and hare’ race. The slow but steady tortoise moves randint(1, 9) units every tick. The fast but lazy hare hops randint(a, b) steps every 10 ticks.  What values of a and b produce a ‘fair’ race where each wins about half the time?

The race is 300 units and the first tick is 1, not 0.

 

Does it matter if, at each tick, the tortoise goes first or should that be ‘fair’ (even chance of either going first) as well? The hare move 0 units 9/10 ticks.

 

Thanks, and

Be kind,

     John

 

Landy Godbold

unread,
Jan 31, 2022, 8:06:44 PM1/31/22
to tins...@googlegroups.com
John:

I will not answer this one until I have a bit of time to think about it some (but I'm pretty sure there is not a unique (a, b) pair that does the trick). 

The real reason for this note is to ask your permission to re-post your question to the AP Stats list (or ask YOU to post it there ).  Since probability and expected value are required topics in that course this might be a fun problem for students to look at, either now or after the AP exam.

cheers,
Landy




From: tins...@googlegroups.com <tins...@googlegroups.com> on behalf of John Hanna <johne...@gmail.com>
Sent: Monday, January 31, 2022 12:25 PM
To: tins...@googlegroups.com <tins...@googlegroups.com>
Subject: [tinspire] tortoise and hare?
 
--
--
To post to this group, send email to tins...@googlegroups.com
To unsubscribe send email to tinspire+u...@googlegroups.com
For more options, visit this group at
http://groups.google.com.au/group/tinspire?hl=en-GB?hl=en-GB
The tns documents shared by group members are archived at
https://sites.google.com/site/tinspiregroup/classroom-news/welcome-abouttime

---
You received this message because you are subscribed to the Google Groups "tinspire" group.
To unsubscribe from this group and stop receiving emails from it, send an email to tinspire+u...@googlegroups.com.
To view this discussion on the web visit https://groups.google.com/d/msgid/tinspire/006601d816c7%2487f764f0%2497e62ed0%24%40gmail.com.

John Hanna

unread,
Jan 31, 2022, 10:09:52 PM1/31/22
to tins...@googlegroups.com

AP Stats: sure, Landy. Thanks.

krogi us

unread,
Feb 1, 2022, 7:06:25 PM2/1/22
to tinspire
Here is the solution disney knows.
https://www.youtube.com/watch?v=8JidHgq0X-c

John Hanna

unread,
Feb 1, 2022, 10:23:56 PM2/1/22
to tins...@googlegroups.com

Thanks! You’ve given me names!

Jody Crothers

unread,
Feb 2, 2022, 5:50:42 AM2/2/22
to tins...@googlegroups.com
Hi John

This would be great to code for the Rover so they can see the race.

Jody Crothers


Head of Learning Area (Mathematics)

Ridge View Secondary College

Western Australia

www.jodstar.com

From: tins...@googlegroups.com <tins...@googlegroups.com> on behalf of John Hanna <jeh...@optonline.net>
Sent: Wednesday, 2 February 2022 11:23 AM
To: tins...@googlegroups.com <tins...@googlegroups.com>
Subject: RE: [tinspire] tortoise and hare?
 

John Hanna

unread,
Feb 2, 2022, 7:04:17 AM2/2/22
to tins...@googlegroups.com

That would be quite different since there are two cpu’s at work.

Anyone set up a Rover race track like Olympus Mons project?

Jody Crothers

unread,
Feb 2, 2022, 7:24:33 AM2/2/22
to tins...@googlegroups.com
I did one with a coin toss with 2 rovers and dice rolling with 6 rovers, I just used the same randseed to start in each rover.

Jody Crothers


Head of Learning Area (Mathematics)

Ridge View Secondary College

Western Australia

www.jodstar.com

Sent: Wednesday, 2 February 2022 8:04 PM
To: tins...@googlegroups.com <tins...@googlegroups.com>
Reply all
Reply to author
Forward
0 new messages