Important Note: At 1:10 the author should have said "and you get your three consecutive heads in three throws" rather than "and you get your three consecutive heads". Then at 1:33 in the equation for 'E' the author erroneously omits to add "+1/8 x 3" at the end which is the probability of getting three heads in the first three throws. However in the line after at 1:44 he corrects this adding the "+3" at the end and from then on everything is correct.
You are most welcome! We do have hundreds of videos already uploaded onto the Gresty Academy channel (with more being uploaded all the time), arranged into topic playlists (including a Markov Chain playlist) and of varying levels of difficulty . Check them out here www.youtube.com/@grestyacademy/playlists
yes well spotted - we have put a note in the comments "Important Note: At 1:10 the author should have said "and you get your three consecutive heads in three throws" rather than "and you get your three consecutive heads". Then at 1:33 in the equation for 'E' the author erroneously omits to add "+1/8 x 3" at the end which is the probability of getting three heads in the first three throws. However in the line after at 1:44 he corrects this adding the "+3" at the end and from then on everything is correct."
Important Note: At 1:10 the author should have said "and you get your three consecutive heads in three throws" rather than "and you get your three consecutive heads". Then at 1:33 in the equation for 'E' the author erroneously omits to add "+1/8 x 3" at the end which is the probability of getting three heads in the first three throws. However in the line after at 1:44 he corrects this adding the "+3" at the end and from then on everything is correct.
For more videos on Markov Chains, check out the Gresty Academy playlist 'Markov Chains' at th-cam.com/play/PLlX3COjsHPVDkTC3MENgdITlfCnKy3fxK.html
Brilliant thank you for this content! Any books or other resources you would recommend for learning these kinds of techniques thoroughly?
You are most welcome! We do have hundreds of videos already uploaded onto the Gresty Academy channel (with more being uploaded all the time), arranged into topic playlists (including a Markov Chain playlist) and of varying levels of difficulty . Check them out here www.youtube.com/@grestyacademy/playlists
@@grestyacademy amazing, god bless your heart! cheers
Glad to be of service!
@@abugigi Welcome!
Thank you so much! And how do you calculate the variance using this method for N?
great question - I shall do a video on that. Watch this space!
very good explanation, but, at 1:44
E = 1/2(E+1) + 1/4(E+2) + 1/8(E+3)
E should be 11,where did that extra 3 comes from your equation,
yes well spotted - we have put a note in the comments "Important Note: At 1:10 the author should have said "and you get your three consecutive heads in three throws" rather than "and you get your three consecutive heads". Then at 1:33 in the equation for 'E' the author erroneously omits to add "+1/8 x 3" at the end which is the probability of getting three heads in the first three throws. However in the line after at 1:44 he corrects this adding the "+3" at the end and from then on everything is correct."
i didn't noticed it first, thank you ..😅