Need understanding

in the example for week 4 I need help understanding HOW we get the answer:

H(0.5) - (5/10H(0.8) = 5/10H(0.2))

if someone could break it down for me I would be grateful. I keep going over the math and getting weird answers. If I have to substitute the (H) for something then multiply that would make sense but then what is (H)?

Please give a reference where you saw this in the course, such as a lecture title and time mark.

I would just like to know how to do this math by hand please.

It appears to me that all the math is shown in the slide.

But half of .8 is .4 and half of .2 is .1 which would equal 1 subtract .5 is .5. What am I missing?

Hi @Johnny_3rd,

How to compute H(p)? This video is a good reference to that: Advanced Learning Algorithms > Week 4 > Measuring purity

Cheers,
Raymond