Probability Word Problem - NON-ME & ME

Question

1. For a particular species of cat, the odds against a kitten being born with either blue eyes or white spots are 3:1. If the probability of a kitten exhibiting only one of these traits is equal and the probability of exhibiting both traits is 10%, what are the odds in favour of a kitten having blue eyes?

This question involves mutually exclusive and non-mutually exclusive event, but I'm just really unsure of how to start the question/what to do, if someone can possibly explain step-by-step through the answer, that would be very helpful, thank you.

Answer 1

The mutually exclusive event was the blue eyes or white spots. vs the rest. You either had one of the traits or you didn't. Odds 1:3 for HAVING a trait

Odds of having blue eyes vs spots if you are in the 'trait' group are 1:1

Odds of not having blue eyes and still being in that group are 3:7, this is because there are 2:3 odds that you will have both traits (non mutually exclusive event - i.e. interaction). Which means odds of being in that group (blue eyes) are 7:3

The odds of having blue eyes are then 7 : 33 , which is the same as a 17.5% chance of success.