Table 3.6 shows a random sample of 200 cyclists and the routes they prefer. Let M = males and H = hilly path. 184 CHAPTER 3 | PROBABILITY TOPICS Gender Lake Path Hilly Path Wooded Path Total Female 45...

Table 3.6 shows a random sample of 200 cyclists and the routes they prefer. Let M = males and H = hilly path.
184 CHAPTER 3 | PROBABILITY TOPICS

Gender        Lake Path         Hilly Path         Wooded Path         Total
Female             45                     38                     27                      110
Male                 26                     52                     12                       90
Total                 71                     90                     39                       200

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?