how to solve this question? Thank you very much

let Pn be the probability that you get an even number of heads. Now we ask the same question as (a) except that the coins are not fair but come up heads with probability h and tails with probability 1 - h.Now you are to find a general formula for pn in terms of n. There are different ways to do this, but here I require you to use a linear recursion where the variables are: Pn = probability even # heads after n flips In = probability odd # heads after n flips. Of course an = 1 - Pn but by carrying both along, we can get a 2x2 matrix recursion. Formulate and solve this recursion and get a formula for Pn. Check that your result gives the same value for p3 as you obtained in the table. [There are other checks you can do as well. For example you already know the answer for three special cases of h. ]