Re: [math-fun] Self-reference and probabilities

11 Dec 2019

      If I've made no mistakes, and using Neil's suggestion:

If you randomly select a letter from this sentence, the chances of it 
being ...
   ... an 'a' are three in forty-one.
   ... a  'b' are three in one-hundred and forty-one.
   ... a  'c' are two in thirty-two.
   ... a  'd' are nine in one-hundred and seventy-one.
   ... an 'e' are five in twenty-eight.
   ... an 'f' are three in sixty-three.
   ... a  'g' are three in eighty-two.
   ... an 'h' are five in eighty-two.
   ... an 'i' are three in forty-one.
   ... a  'j' are two in one-hundred and eighty.
   ... a  'k' are two in one-hundred and eighty.
   ... an 'l' are three in sixty-three.
   ... an 'm' are two in fifty-four.
   ... an 'n' are three in thirty.
   ... an 'o' are six in eighty-one.
   ... a  'p' are two in one-hundred and eighty.
   ... a  'q' are two in one-hundred and eighty.
   ... an 'r' are five in eighty-two.
   ... an 's' are six in eighty-one.
   ... a  't' are five in forty-five.
   ... a  'u' are five in one-hundred and fifty.
   ... a  'v' are two in one-hundred and eighty.
   ... a  'w' are seven in two-hundred and twenty-four.
   ... an 'x' are one in eighty-one.
   ... a  'y' are four in eighty-one.
   ... a  'z' are two in one-hundred and eighty.

Done by sequential search.

Not quite sure how to tackle "If you randomly select... ...an 'a' are 
Ma/Na, a 'b' are Mb/Nb, a 'c' Mc/Nc, ...

On 12/11/19 12:35 AM, Neil Sloane wrote:
...
Can I suggest a possible slight improvement to the wording?
If you randomly select a letter from this sentence the chances of it being
an e are X in Y
"select" could also be "choose" or "pick"

Re: [math-fun] Self-reference and probabilities

William R Somsky