Answer
The probability that you will choose a flower tile and then a bird tile is $\frac{1}{105} $.
Work Step by Step
Because you do not replace the first tile, the events are dependent.
$P(flower)=\frac{1}{15}$
$P(bird -after- flower)=\frac{2}{14}=\frac{1}{7} $
$P(flower-then - bird)= P(flower)
P(bird -after- flower)=\frac{1}{15} .\frac{1}{7} =\frac{1}{105} $
The probability that you will choose a flower tile and then a bird tile is $\frac{1}{105} $.
