Double Take Nim Question who can always win this game the 1s

Double Take Nim:

Question: who can always win this game, the 1st player or the 2nd player? if the first player can always win state the first move that he or she needs to make. If the second player can always win state the first move he or she must make in response to every way the game may be begin.

Game 2 Double Take Nim How to play: Place counters as shown. Players take turns removing counters from one or both (horizontal) rows; in the latter case, the numbers of counters removed from each row must be equal. The player that picks up the last counter wins the game

Solution

if the player 1 chooses only one coins in the first move then it will player 2 which will win the match

Reason : p1,p2, p1, p2,p1,p2, p1, p2, p1, p2, p1, 2, p1, p2, p1, p2, p1, p2

if the player 1 chooses only two coins in the first move then it will player 1 which will win the match

p1p1, p2p2, p1p1, p2p2, p1p1,p2p2,p1p1,p2p2,p1p1

note : i have mentioned the moves by each player in case of the first one each player chooses only one coin and in latter case they choose two coins