if you add a third die, the odds are 1 out of 216 and predicting the totals 75% equates to two possible outs (totals), 4 dice the odds go to 1296 but the predicted outs results in 6 possible outcomes the majority of the time
Hello, MM. Thank you for your contribution. I agree that there are 216 possible combinations with three dice and 1296 possible combinations with four dice. Unfortunately, I was not clear on what you were counting when you said "predicting the totals 75% equates to two possible outs (totals)" and "the predicted outs results in 6 possible outcomes the majority of the time." With three dice, I find that I get a five or six or sum of five or six 168 times out of 216 ... which is 7/9, or close to 78% of the time. I have not made the calculation for four dice yet. I must admit that I had not thought of extending the problem to the use of more than two dice, so I greatly appreciate your "what if" observations! Thank you.
you are correct it is 78 %, I was just estimating the results I got for 3 dice. It appears that predicting the results for 3 dice attain higher percentage than predicting for 2 dice. The "outs": the numbers that appear most often-work better with 3 dice. I'm looking at it from a mind reading/mental magic perspective.
Nonetheless, I think it is wonderful that you thought of applying the principle to three or four dice! Your perspective intrigues me, MM. Please let me know if you develop some mind reading/mental magic 'routine' that utilises this concept. I have not had time to investigate four or five dice yet, but I expect that the percentage would continue to increase. Kind regards, Graeme
I like it, but I have a step that would improve the overall performance and make it fascinating for kids and adults alike. Instead of the weak "I Missed" you get an,audience member or 2 involved plus you create a built in excuse as to the misses to where they are not misses at all, but rather the choice of said volunteers. Let me explain. Ask for 1st volunteer. Tell them they get 3 chances, but they need to pick 1 or 2 abracadabras. By chance the abracadabras as chosen by 1st volunteer will coincide with the seeming magnitism. On the occaaaions when it does fail, we simply remind everyone of the times that either the 1st, 2nd or 3rd volunteer didn't say abracadabra yet the magic still happen, so obviously the results balance out. This method kills 2 birds at once. Gets people involved and blames them in a light hearted, barely mentioned way for those few times that the magnetism takes off. You could even use the human nature element of curiosity to have your 3 volunteers have zero restrictions to where they can say the magic words all 3 times or not at all. One of the 3 is likely to not say it and probably 2 of the 3 will not say the magic words at least once thus giving the 2 non magic trials.
I perceive that you work with audience engagement (perhaps as an entertainer?). Thank you for your input, Dr Troy Turner. I hope other viewers will also consider what you have just shared.
There is some, but not much, relationship between number theory and permutations. Permutations are used in a few branches of mathematics, but they are mainly connected with a topic called combinatorics (the 'art of counting'), where one tries to count how many things or possibilities may exist. This is used a lot in probability where we need to answer questions like, "How many different results are possible if I do xxxx (whatever it may be)?" Number theory is a study of how the numbers themselves 'behave,' rather than how they are used to solve other problems.
Hello teacher, why do you say that 6 * 5 * 4 * 3 * 2 * 1 is a permutation instead of combinations in that game, I did not understand I am confused, greetingsss ....
Hi, D4NϟEL. Good to see you again :-) I did not calculate 6! = 6 * 5 * 4 * 3 * 2 * 1 at any time as I was not really talking in terms of what you have learned of combinations and permutations. That is for later videos! This video was simply looking at this problem from a more statistical point of view .. using a table (or grid) to keep track of the results. I only intended using the term 'combination' in the sense that we were looking for 'combinations' between the numbers showing on each die. I was not using the term 'combination' with its strict definition that we use in probability. I am sorry for any confusion.
Hello teacher, in which branch of mathematics does the 1089 trick enter and what applications could be made in real life, because sometimes it seems that these methods are only recreational mathematics
Sometimes they are simply recreational mathematics. It is good to do some things just for fun ... and to build skills at the same time. The 1089 trick would be explained and understood using number theory.
Hello D4NϟEL, I admire your enthusiasm, but I cannot teach such things properly via text in the comments section here. Nor do I know your age or circumstances. It would be good if you could find a teacher or tutor near you who could show you such things face-to-face and guide you that way.
@@CrystalClearMaths thanks teacher, any book that you can recommend me to understand the relationship between trick 1089 and number theory, please, greetings ...
@@Estrada999 You are welcome. Sadly, I do not know of any books specifically explaining the relationship between the 1089 trick and number theory. When I resume posting videos later this year (hopefully around August), I will try to post a video about this matter. If you don't see a video by, say, October, please remind me. Thank you.
Thank you, CC. I try to. In a lot of areas of life I fumble along but, with things like this, I have a reasonable grasp of things :-). Thanks for watching the videos, friend ... and for your comments (and subscribing). All are greatly appreciated.
Excellent analysis! I enjoyed this.
I am glad that you did, Geno. It is a mischievous kind of concept ... but a great way to introduce thinking about probability.
Best wishes to you.
if you add a third die, the odds are 1 out of 216 and predicting the totals 75% equates to two possible outs (totals), 4 dice the odds go to 1296 but the predicted outs results in 6 possible outcomes the majority of the time
Hello, MM.
Thank you for your contribution. I agree that there are 216 possible combinations with three dice and 1296 possible combinations with four dice.
Unfortunately, I was not clear on what you were counting when you said "predicting the totals 75% equates to two possible outs (totals)" and "the predicted outs results in 6 possible outcomes the majority of the time."
With three dice, I find that I get a five or six or sum of five or six 168 times out of 216 ... which is 7/9, or close to 78% of the time.
I have not made the calculation for four dice yet.
I must admit that I had not thought of extending the problem to the use of more than two dice, so I greatly appreciate your "what if" observations! Thank you.
you are correct it is 78 %, I was just estimating the results I got for 3 dice. It appears that predicting the results for 3 dice attain higher percentage than predicting for 2 dice. The "outs": the numbers that appear most often-work better with 3 dice. I'm looking at it from a mind reading/mental magic perspective.
Nonetheless, I think it is wonderful that you thought of applying the principle to three or four dice! Your perspective intrigues me, MM. Please let me know if you develop some mind reading/mental magic 'routine' that utilises this concept. I have not had time to investigate four or five dice yet, but I expect that the percentage would continue to increase.
Kind regards,
Graeme
I like it, but I have a step that would improve the overall performance and make it fascinating for kids and adults alike. Instead of the weak "I Missed" you get an,audience member or 2 involved plus you create a built in excuse as to the misses to where they are not misses at all, but rather the choice of said volunteers. Let me explain. Ask for 1st volunteer. Tell them they get 3 chances, but they need to pick 1 or 2 abracadabras. By chance the abracadabras as chosen by 1st volunteer will coincide with the seeming magnitism. On the occaaaions when it does fail, we simply remind everyone of the times that either the 1st, 2nd or 3rd volunteer didn't say abracadabra yet the magic still happen, so obviously the results balance out. This method kills 2 birds at once. Gets people involved and blames them in a light hearted, barely mentioned way for those few times that the magnetism takes off. You could even use the human nature element of curiosity to have your 3 volunteers have zero restrictions to where they can say the magic words all 3 times or not at all. One of the 3 is likely to not say it and probably 2 of the 3 will not say the magic words at least once thus giving the 2 non magic trials.
I perceive that you work with audience engagement (perhaps as an entertainer?).
Thank you for your input, Dr Troy Turner. I hope other viewers will also consider what you have just shared.
thanks teacher, how can the theory of numbers help us in pernutations, I don't find much relationship between these two topics, greetings .....
There is some, but not much, relationship between number theory and permutations.
Permutations are used in a few branches of mathematics, but they are mainly connected with a topic called combinatorics (the 'art of counting'), where one tries to count how many things or possibilities may exist. This is used a lot in probability where we need to answer questions like, "How many different results are possible if I do xxxx (whatever it may be)?"
Number theory is a study of how the numbers themselves 'behave,' rather than how they are used to solve other problems.
Hello teacher, why do you say that 6 * 5 * 4 * 3 * 2 * 1 is a permutation instead of combinations in that game, I did not understand I am confused, greetingsss ....
Hi, D4NϟEL. Good to see you again :-)
I did not calculate 6! = 6 * 5 * 4 * 3 * 2 * 1 at any time as I was not really talking in terms of what you have learned of combinations and permutations. That is for later videos! This video was simply looking at this problem from a more statistical point of view .. using a table (or grid) to keep track of the results. I only intended using the term 'combination' in the sense that we were looking for 'combinations' between the numbers showing on each die. I was not using the term 'combination' with its strict definition that we use in probability.
I am sorry for any confusion.
Hello teacher, in which branch of mathematics does the 1089 trick enter and what applications could be made in real life, because sometimes it seems that these methods are only recreational mathematics
Sometimes they are simply recreational mathematics. It is good to do some things just for fun ... and to build skills at the same time.
The 1089 trick would be explained and understood using number theory.
Hello teacher, could you explain to me how the theory of numbers can help me explain and understand the 1089 trick, please, greetings ...
Hello D4NϟEL,
I admire your enthusiasm, but I cannot teach such things properly via text in the comments section here.
Nor do I know your age or circumstances. It would be good if you could find a teacher or tutor near you who could show you such things face-to-face and guide you that way.
@@CrystalClearMaths thanks teacher, any book that you can recommend me to understand the relationship between trick 1089 and number theory, please, greetings ...
@@Estrada999 You are welcome. Sadly, I do not know of any books specifically explaining the relationship between the 1089 trick and number theory.
When I resume posting videos later this year (hopefully around August), I will try to post a video about this matter. If you don't see a video by, say, October, please remind me. Thank you.
You know what you are doing
Thank you, CC. I try to.
In a lot of areas of life I fumble along but, with things like this, I have a reasonable grasp of things :-).
Thanks for watching the videos, friend ... and for your comments (and subscribing). All are greatly appreciated.
Crystal Clear Maths your welcome
Thank you.
If you will email me I want to
Hi Geno. You can send me a private message via my website ~ crystalclearmaths.com/contact-us/.
Kind regards to you.
Graeme