A company held four events of swimming, bowling, billiards and table tennis. Xiao Li, Xiao Zhang, Xiao Wang, and Xiao Dai all participated in one of the events, and the four participated in different events. Known: (1) One of Xiao Li and Xiao Zhang participated in the bowling game; (2) If Xiao Wang participated in the billiard game, Xiao Zhang participated in the bowling game; (3) Only Xiao Li participated in the bowling game, and Xiao Wang participated in the billiard game; (4) If Xiao Wang participates in swimming or table tennis, Xiao Dai does not participate in swimming or table tennis. From the above statement, which of the following can be concluded? ['Xiao Wang participates in table tennis.', 'Xiao Wang does not add table tennis.', 'Xiao Dai participates in a billiard game.', 'Xiao Dai does not participate in billiards.']