Also, both terms begin with a "c", but end with a "g" and a "s" (respectively).
Right up until the day that the show was brought to them by the letter "F".Your day job is on Sesame Street, right?
Athon
I agree with Athon's explanation, but the question also enters as to when is it appropriate to use either?
Depending on the person, if I were trying to illuminate their own confirmation bias, I might instead use the term cherry-picking, because it sounds less technical, and it's a word they probably are already familiar with and so they would more quickly grok my meaning.
But since cherry-picking does also have that sense of deliberateness, I'd have to be careful to not come across as accusing them of purposeful self-deception (if I felt that did not apply).
Confirmation bias is when you discard events that don't fit the hypothesis, in favor of ones that do. For instance, lets say you believe in astrology. There's 3-4 things that are supposed to happen today that are predicted by your horoscope. One of them definitely happens, and you think 'OH! The horoscope predicted that.' The other three don't. You forget about them. Eventually you've built up a firm stock of things the horoscope has predicted...
That is technically termed "belief persistence - the tendency to hang on to beliefs in the face of contradictory evidence" (Weiten, Introductory Psychology, p.337)
I agree that cherry picking involves selecting the data after being collected to support some hypothesis (and the file drawer effect involves hiding the nonsupporting data), but confirmation bias occurs when one only tries to collect data that could support the hypothesis and avoids efforts to falsify it. The Wason card selection task demonstrates this quite nicely.