Question

Okay so the question is:
The graph illustrates a statistical property known as the law of large numbers. Make a conjecture about the effect on probability as the number of trials gets very large.
And I'm going to try and attach the graph...

Answer 1

and the answers:
A) probability approaches 40%

B) probability approaches 4%

C) probability approaches 0.4%

D) probability approaches 400%

Answer 2

I thought 40% just because that's usually how decimal to percentage works but for some reason I'm thinking otherwise.... Like the 4%

Answer 3

Your first intuition is absolutely right. The probability does seem to approach 40%.
Background info: The law of large numbers is a statistics theorem that says repeating an experiment/action a large number of times will cause the probability to get closer and closer to the expected outcome due to random chance. For example, if you flip a coin 3 times you might get all heads out of chance. This could lead you to falsely believe that the probability of flipping a heads is 100%. However, repeating the flips 1000 times will result in approximately half of the flips being heads and half tails, which is much closer to the actual probability of 50%.