Always True or False. How to fix it?

Question

print ('Letter guessing game!')
def checkGuess():
print('Guess a letter!')
a = True
guess = bool(input())
if guess == a:
print ('Correct! You win!')
else:
print ('Wrong')
if checkGuess() == False:
[checkGuess() for _ in range(0,2)]
else:
pass

I notice when i entered "if guess = ''a'': "
Then its always wrong. Why is this?

and if i just put 'a' its always true ><

Answer 1

print ('Letter guessing game!')
def checkGuess():
print('Guess a letter!')
guess = str(input())
if guess == 'a':
print ('Correct! You win!')
else:
print ('Wrong')

if checkGuess():
[checkGuess() for _ in range(0,2)]
else:
pass

Answer 2

try doing: if guess=='a'