for ur 2nd Q:
let the no. of natural nos be n.
x^2 + y^2= (x+y)^2 -2xy shud be div by 5.
so x+y and xy (both )shud be div by 5.
for x+y:
the nos can be 5m+1,5m+4(1) or 5m+2,5m+3(2) or 5m and 5m(3)
P1= 2P(1) +2P(2)+P(3) can b determined only if total nos is given.
for xy:
either x or y or both x and y shud be div by 5.
P2 can b calculated.
but here both the cond for x+y and xy shud satisfy.
so only prob is that both shud be a multiple of 5.
so P(x and y shud be multiples of 5)=
=(1/[n/5])^2/n -----[] indicates greatest integer.
plz correct me if m wrong.
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