You may use SoundPlayer.PlaySync() which plays the .wav file using the User Interface thread so that wowSound would be played first. Then, countingSound will be played after wowSound has finished playing
Example
SoundPlayer wowSound = new SoundPlayer(@"soundEffect/Wow.wav"); //Initialize a new SoundPlayer of name wowSound
SoundPlayer countingSound = new SoundPlayer(@"soundEffect/funny.wav"); //Initialize a new SoundPlayer of name wowSound
wowSound.PlaySync(); //Play soundEffect/Wow.wav synchronously
countingSound.PlaySync(); //Play soundEffect/funny.wav synchronously
NOTICE: You can not play more than ONE sound at the same time using SoundPlayer as it does not support playing simultaneous sounds. If you would like to play TWO or more sounds at once, System.Windows.Media.MediaPlayer would be a better option
Example
MediaPlayer wowSound = new MediaPlayer(); //Initialize a new instance of MediaPlayer of name wowSound
wowSound.Open(new Uri(@"soundEffect/Wow.wav")); //Open the file for a media playback
wowSound.Play(); //Play the media
MediaPlayer countingSound = new MediaPlayer(); //Initialize a new instance of MediaPlayer of name countingSound
countingSound.Open(new Uri(@"soundEffect/funny.wav")); //Open the file for a media playback
countingSound.Play(); //Play the media