If all you wanted is OneThree,OneFour,TwoThree,TwoFour,FiveThree,FiveFour then a double for loop will do the trick for you:
>>> for x in arr1:
for y in arr2:
print(x+y)
OneThree
OneFour
TwoThree
TwoFour
FiveThree
FiveFour
Or if you want the result in a list:
>>> [x+y for x in arr1 for y in arr2]
['OneThree', 'OneFour', 'TwoThree', 'TwoFour', 'FiveThree', 'FiveFour']