Contingency Tables · Try It 2

shows a random sample of 200 cyclists and the routes they prefer. Let M = males and H = hilly path.
$$\begin{array}{ccccc}\text{Gender}& \text{Lake Path}& \text{Hilly Path}& \text{Wooded Path}& \text{Total}\\ \text{Female}& \text{45}& \text{38}& \text{27}& \text{110}\\ \text{Male}& \text{26}& \text{52}& \text{12}& \text{90}\\ \text{Total}& \text{71}& \text{90}& \text{39}& \text{200}\end{array}$$

(a) Out of the males, what is the probability that the cyclist prefers a hilly path?
(b) Are the events being male and preferring the hilly path independent events?

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