If Jill has 14 songs on her playlist and she predicts that the song that will play first when she hits shuffle is one of three specific songs (song 3, song 14, or song 8), we can calculate the probability of her prediction being correct.
- Total number of songs: 14
- Number of songs she predicts: 3 (song 3, song 14, song 8)
The probability that the first song played is one of her predicted songs is the number of favorable outcomes (the three songs she predicted) divided by the total possible outcomes (all 14 songs).
Thus, the probability \( P \) can be calculated as:
\[ P = \frac{\text{Number of predicted songs}}{\text{Total number of songs}} = \frac{3}{14} \]
Therefore, the probability that Jill's prediction will be correct is \( \frac{3}{14} \) or approximately \( 21.43% \).