we can see that this situation is less uncertain the uncertainty will decrease the farther we get from reaching the extreme value of for either percent or percent chance of the head showing upas we can see in the following graphwe will now modify the entropy by applying it to two features instead of onesuch that it measures how much uncertainty is removed from when we learn about then we can catch how one feature reduces the uncertainty of another for examplewithout having any further information about the weatherwe are totally uncertain whether it is raining outside or not if we now learn that the grass outside is wetthe uncertainty has been reduced (we will still have to check whether the sprinkler had been turned onmore formallymutual information is defined asthis looks bit intimidatingbut is really not more than sums and products for instancethe calculation of is done by binning the feature values and then calculating the fraction of values in each bin in the following plotswe have set the number of bins to