24. if the relative frequency of getting a ‘six’ on a dice is 0.2, how many sixes would you expect to get in 200 throws of the dice?

You can expect roughly 40 sixes in 200 throws.

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this