Tom and Jerry are playing Evens or Odds. On the count of three, each of them shows one or two fingers. If the sum of all the fingers is even, Tom wins; if the sum is odd, Jerry wins, and they rent a rom-com. Each of them gets a payoff of 1 for winning and 0 for losing. a) Draw the normal-form matrix for "Evens or Odds". b) Does this game have a Nash equilibrium (in pure strategies)? Explain.