Contingency Tables · Try It 2

shows a random sample of 200 cyclists and the routes they prefer. Let O = older and H = hilly path.
$$\begin{array}{ccccc}\text{Age Group}& \text{Lake Path}& \text{Hilly Path}& \text{Wooded Path}& \text{Total}\\ \text{Younger}& \text{45}& \text{38}& \text{27}& \text{110}\\ \text{Older}& \text{26}& \text{52}& \text{12}& \text{90}\\ \text{Total}& \text{71}& \text{90}& \text{39}& \text{200}\end{array}$$

(a) Out of the older group, what is the probability that the cyclist prefers a hilly path?
(b) Are the events “being older” and “preferring the hilly path” independent events?

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Statistics 2e · §3.4 Contingency Tables · Try It 2