Q: Are some number patterns more or less likely? Are some betting schemes better than others?
If after extensive investigation he always has the same advice (“I don’t know, bet on red?”), then the game is memoryless. You guess a number, roll a die, and if you guessed right you win. He knows that a 3 is as likely as any other number, so he isn’t surprised. It’s only those of us burdened with memory who see “patterns” in these random numbers (fun fact: this is called “apophenia“). Every string of (fair) rolled dice is equally likely and while randomly emerging “patterns” will occasionally show up, they don’t change the math and can’t be predicted.