How is a 50% confidence level analogous to flipping a coin? I'm rather new to statistics. I'm learning on my own and I'm trying to understand confidence levels. I read, "How Confident Do You Need to be in Your Research?" by Jeff Sauro, Ph.D., 5 Jan 2015, and in it he states:

if you find that there’s little or no downside to being wrong, and if
you have to pick among poor alternatives, 51% confidence is at least
better than flipping a coin.

This seems to imply that 50% confidence is equal to flipping a coin, but I disagree. My logic is that flipping a fair coin has 0% confidence it will land on heads, this means there's an equal chance it could land on heads, you have 0 conjecture WHICH it will be. A situation with 50% confidence would be like a "loaded"(??) coin that WILL land on heads 50% of the time. The other 50% of the time the coin has an equal chance of landing on heads or tails. I'm clearly incorrect in this thinking and must be confused about what confidence level measures, but am unable to grasp it.
How is a 50% confidence level like flipping a coin? Would it have something to do with confidence interval width?

I also find the coin flipping relation a little unintuitive. Let's start instead by imagining a game where I roll a 100-sided die and you want to guess the number. But instead of just guessing the exact number, you're allowed to guess a range of numbers from 1-100.
For example, I roll the die and get a number $X$, but I don't tell you what the number is. Then, you decide to guess the range of numbers from 1-95. At this exact moment in time, before I tell you if you're right or not, how could we describe the knowledge you have and how likely you are to be correct? There's a good chance that you've guessed the right number, you guessed 95 out of the possible 100 values. But technically we can't say "the probability you're correct is 95%". Because, I already rolled the dice and I know whether your guess is correct or not. There isn't anything random left to do, the result is already fixed. Instead we would say that you are 95% "confident" that the number I rolled is in the range you guessed.
Back to the casino, say that we decide to gamble on the outcome of this dice game. If the number from the die is in your range I'll give you \$10, if it's not you give me \$10. But to make it fair you're only allowed to guess a range of 50 numbers, not as many as you want. One round of the game might be that I roll the die and you guess the numbers 1-50. Then you are "50% confident" that your interval contains the number I rolled.
How does this game compare to gambling on a coin flip? You might be able to tell that this game I just described and gambling on the flip of a coin are statistically equal. The 100-sided die game is a little more complex, but expected results from both games are the same. You should win each game about 50% of the time.
So, you being 50% confident in the die game interval is equivalent to betting on a coin flip. If instead I allowed you to guess a range of 51 numbers in the die game, you would prefer that to a coin flip game because you're more likely to win. You shouldn't bet your house on it, but if we're playing for smaller amounts of money you'd probably like to take that 51% chance multiple times.
