Roll one fair die. A is an odd face and C is an odd face larger than two. What is the probability of C given A?

1. Conditioning on A reduces the sample space from six faces to the three odd faces 1, 3 and 5. 2. Event C holds 3 and 5, both of which survive inside that reduced space. 3. Two of the three remaining faces qualify, so the probability is 2/3. 4. A probability of 2/6 would divide by the original six faces and ignore the conditioning. _Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 3 "Probability Topics", section 3.2 Independent and Mutually Exclusive Events_