An intriguing species of worm spends its time wandering around in search of food. Two percent of the plate is covered with food. A point containing food contains worms with probability 0.1. A point without food contains worms with probability 0.04.
a. Draw a diagram illustrating the events and probabilities.
b. Find the probability that a point containing a worm also contains food.
c. Are the worms and food independent? What does this mean?