Well it would if you have it hooked up to a headphone jack on your laptop, as that IS indeed an output.
The RCA’s going into the master 2 OUTPUT on the mixer, you want the mini-jack going into the input on the laptop. This is usually marked with a little microphone symbol. If there is a colored ring around it, it would typically be pink (I know, right!).
If you have a really heavy weight laptop (or a PC with a sound card), you MIGHT have a line input, which is preferable to use. However, 90+ percent of laptops will have only two connections, headphone and mic.
Hope that helps.