You have two different questions.
I don't think your daughter has a choice here. So it's irrelevant to her. Obviously society has a choice. I don't think the topic is so awful, personally. It can be understood intuitively without formal limit training. After all, we have plenty of college prob/stat courses that are non calculus based. And I have personally been involved in Six Sigma training and the like in a manufacturing environment, where intuitive and phenomenological training was done, sometimes even with operators, but even at the professional level in a very "no limits needed" environment.
Of course there is the issue of what it displaces, but that's a tricky topic. I can think of Peggy Sue Got Married, where she tells her teacher that she knows from the future that she really won't ever need algebra! Clearly there is a bit of a fad/trend to play with the stats more, earlier. I kind of like it...since many kids will never get to calculus or be STEM superstars and this gives them a quick exposure to intuitive probs/stats so they have some better understanding of things in the newspaper.
This is not a de novo problem. You/she can Google and find different resources.
For one thing, there are some nice (non rigorous) videos on the topic.
I would start by looking at existing approaches versus speculating on how to do it.
But with the proverbial gun at my head, I think the method she has is OK, but I would even just run a class exercise with 4 and then with 10 flips and then with 20 flips. Have the kids pair up, so they can socialize a little. And then do the histogram of class results on the board or with an overhead (same scale y scale as percentage, but align the endpoints of the x scale) and with the graphs superimposed or aligned above and below each other. I think after that, ask them what they think happens with 500 flips. Another provocation (US audience) is to ask if you have a sports team with a 55% chance of winning/game and it is single elimination (like Super Bowl last Sunday) or if it is best 4 out of 7, like the NBA. Which favors the better team more, which favors the lesser team more? (Don't prove the algebra, just let them debate it a little.)