Hi, Was wanting to ask a quick question. When you turn your ignition and all the dash lights come on does the abs light go off the same time as esp light?

Reason i ask is i was saying to a guy at work that my brakes are pretty rubbish, He suggested that i could possibly have a abs fault but the previous owner could of wired the abs light into another light before he sold it. Ive checked and the esp goes off the same time as abs so just checking this is supposed to happen?

TIA