Bayesian efficiency is like playing a guessing game. Let's imagine you are playing the guessing game with a friend. Your friend is thinking of a number between 1 and 100, and you have to guess what it is. If you guess the right number, your friend will give you some candy as a reward.
Now, let's say you have played this game many times with your friend, and you have realized that your friend only thinks of numbers between 1 and 10. This means that you can guess just 10 times and have a good chance of guessing the right number. You will save time and will be more efficient in guessing the right number.
Bayesian efficiency works in a similar way. When you have some information about what you want to guess, you can use that information to make the best guess. This means that you will need fewer guesses and save time, making you more efficient.
In math, Bayesian efficiency is a formula that helps you calculate the best guess based on the information you already have. This formula tells you how to adjust your guess as you get more information, increasing your chances of guessing correctly and reducing the number of guesses you need to make.