4 A game for two players is played using a fair 4-sided dice with sides numbered 1, 2, 3 and 4. One turn consists of throwing the dice repeatedly up to a maximum of three times. When a 4 is obtained, no further throws are made during that turn. A player who obtains a 4 in their turn scores 1 point.

1. Show that the probability that a player obtains a 4 in one turn is \(\frac { 37 } { 64 }\).
   Xeno and Yao play this game.
2. Find the probability that neither Xeno nor Yao score any points in their first two turns.
3. Xeno and Yao each have three turns. Find the probability that Xeno scores 2 more points than Yao.
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