out and heads have the states of the entire world my cone came out tails we're ignoring everything else about the world we're just looking at heads versus tails and not the details of everything else in the world continuous random variables X takes on a value and some continuum you cannot now associate the probability with X taking on a specific value because if it's infinitely many things it's a continuum if you want to assign finite probability to think so it'll sum up to something higher than 1 which we can have it needs to be