Step 1:
Given data
[tex]\begin{gathered} \text{Chances of having purple flowers = }\frac{3}{4} \\ \text{Chances of having tall stems is }\frac{3}{4} \end{gathered}[/tex]Step 2
Note: 'and' in probability represent multiplication.
Next: Find the chances of an offspring being tall and having purple flowers
[tex]\begin{gathered} =\text{ }\frac{3}{4}\text{ }\times\text{ }\frac{3}{4} \\ \text{= }\frac{9}{16} \end{gathered}[/tex]Final answer
9/16