Problem Setup: Let's say a bag contains 100 balls, 60 of which are red and 40 are black. 100 Balls are drawn at random from the bag (with replacement) and before each draw, you have to guess whether the drawn ball will be red or black.
Solution 1: You always guess that the drawn ball will be Red. This will result in an expected accuracy of 0.6
Solution 2: You flip a biased coin with $P(Heads) = 0.6$ and if the coin lands head, you guess that the drawn ball will be Red otherwise Black. Please note that the probability of 0.6 was chosen because the $P(red ball)$ in the bag is 0.6
Question for the Cross Validated Community: What is the expected accuracy for solution 2?
PS: This question was marked to be Closed because it was not clear what was being asked. Therefore, I have completely reworded the problem and the scenario and have explained it in as simpler way as possible.