In a future video, I'm going to give you, hopefully, a better intuition for why this must be true, that they're independent, in order to make this claim right over here. I'm not gonna prove it in this video, but we could build a little bit of intuition. Here, for each of these random variables, we have a range of two ounces over which this random variable can take, and that's true for both of them. But what about this sum? Well, this sum here could get as high as, so let me write it this way. So X plus Y, X plus Y, what's the maximum value that it could take on? Well, if you get a heavy version of each of these, then it's going to be 17 plus five, so this has to be less than 22 ounces, and it's going to be greater than or equal to, well, what's the lightest possible scenario?