Big Online Courses Have a Problem. Here’s How We Tried to Fix It.

The Problem Here is some personal prejudice: I don’t love online courses. I
love learning in community, even in online communities, but online courses
rare...
4 weeks ago
The answer is (3/4)^n.
ReplyDeleteThe only way that A can fail to be a subset of B is if there exists an element x that belongs to A but does not belong to B.
For each x, the probability is 1/2 that x belongs to A, and 1/2 that x does not belong to B. Since the events are independent, the probability is 1/4 that x belongs to A but not B.
The probability that this event does not occur for a given x is 1  1/4 = 3/4, and the probability that it never occurs for any x is (3/4)^n.