the distribution of ba degrees conferred by a local college

the distribution of b.a. degrees conferred by a local college is listed. what is the probability that a randomly selected degree is in english or mathamatics

english 2073

math 2164

chemistry 318

physics 856

liberal arts 1358

businss 1676

engineering 868

total 9313

Solution

P(English) = 2073/9313 = 0.2225

P(Mathamatics) = 2164/9313 = 0.2323

P(english or mathamatics) = P(English) + P(Mathamatics) = 0.2225+0.2323 = 0.4548