M=4, Is the best move to go all in when UTG?

[sirio11]

I would like to challege the forum to solve this problem using some math, assume no ante, and a 10 handed table with stacks greater than M=8 all of them; and most of the players are good and most likely understand desperation short stacks moves.

The options are,

a) going all in with a random hand UTG or
b) wait one more round,

and the variable I want you to involve is the likekihood to be called by the table if you go all in.
Obviously if the likelihood is 0% you should go all in, and if it's 100% you shouldn't do it with a random hand, should you?