The probability of spinning a 2 on the first spin is 1/4, since the spinner is fair and has 4 equally likely outcomes.
After spinning a 2 on the first spin, there are three equally likely outcomes for the second spin: 1, 3, or 4. Since we want to spin an odd number on the second spin, there are two favorable outcomes: 1 and 3.
Therefore, the probability of spinning a 2 on the first spin, then an odd number on the second spin is:
(1/4) x (2/3) = 1/6
So the probability of spinning a 2, then an odd number, is 1/6.