In an example, suppose we have a hypothetital infinite population of objects of two colors: red and blue, and we know the true proportions of each: $P(red)=0.3$ and $P(blue)=0.7$
Now, suppose I blindly draw objects at random and try to guess their color by using a random number generator which predicts red 30% of the time and blue 70% of the time.
What proportion of guesses are expected to be correct in a theoretical infinite sample? Intuition tells me 50%. If that is correct, why?