Multiple genetic mutations are needed for cancer to develop. This is even more pronounced in the case of oncogene-negative cancer, where a single dominant oncogene mutation that can start tumor growth is lacking and substituted by a combination of driver mutations. To shed light on how tumors can acquire these independent mutations and test the predictability of cancer evolution, we have characterized the fitness landscapes of three tumor suppressor mutations, Nf1, Rasa1, and Pten, leading to potent generation of oncogene-negative lung adenocarcinoma formation. We found that, irrespective of the initial genetic background, landscapes are surprisingly accessible, where each additional mutation leads to growth advantage and hence prediction of the order of mutations in oncogene-negative tumors is expected to be challenging.