Earlier quoted context omitted.
The maths looks wrong; the distribution of clicks is only relevant if the total number of clicks stays the same. Essentially a carousel gives you a "second-bite" at your customer, i.e. the second image is a chance to convert those customers who haven't already been converted by the first image. Imagine you have two images one which converts at 40% and one which converts at 20% - but each image converts completely dif…
You can get the same set of bites faster and more effectively by simply placing both images directly onto the page. This is why Amazon Kindle and Apple product pages tend to be so tall. People can scroll a lot faster than they can wait for a carousel to go through.
I've personally never seen carousels out-perform alternatives like having multiple images on the page, or multiple landing pages with separate messaging, or just dropping multiple options for the one that's most important.
I'm sure that there are some cases where they're an effective option - but I've yet to come across one in testing.
As Brad Frost once observed "Carousels exist to keep people from beating the shit out of each other in meetings." - https://twitter.com/karenmcgrane/status/316563205294010370
And sometimes "people" is just the different people in your head who want to talk about ALL THE THINGS - when talking about just the most important one is what you really need to do.