Among other services, Standard and Poors (S&P) rates the risk of default for corporate bonds. AAA bonds

Question:

Among other services, Standard and Poor’s (S&P) rates the risk of default for corporate bonds. AAA bonds are top rated (smallest chance of default), followed by AA, A, BBB, BB, B, CCC, CC, and last D. In a table of bond ratings crossed with the presence or absence of default, would you expect to see association?