You are more likely to be a doctor than a doctor and an asian.
Details
A subset must be smaller than the entire set.
If an additional condition has to be met, no matter how likely it seems, it is less likely not more likely.
Also known as the linda problem:
Linda is 31 years old, single, outspoken, and very bright. She majored in philosophy. As a student, she was deeply concerned with issues of discrimination and social justice, and also participated in anti-nuclear demonstrations.
Which is more probable?
Linda is a bank teller.
Linda is a bank teller and is active in the feminist movement.