2015 frosh applicants to UCB with HS GPA >= 4.20 had a 46% admit rate. However, EECS is one of the most selective majors, so it should be assumed to be significantly more difficult to be admitted to than overall stats indicate. Applying to L&S would be more in line with school overall stats, but then you would need to earn a (currently) 3.3 GPA in the CS major prerequisites to declare the L&S CS major.
Although Stanford does not officially admit by major or limit declaration of the CS major, the huge increase in popularity of the CS major there may mean that admissions readers hold prospective CS major applicants to a higher standard just to avoid having a frosh class that is mostly CS majors.
Make sure that you have safeties that you like.