Question

Your instructor has a hobby of growing plants! Currently, he has 2 breeds of basil (1 plant each), 1 green onion, 2 breeds of tomato (1 yellow sunsugar and 5 red cherry tomato), and 3 breeds of hot pepper (1 serrano, 1 habanero, 1 Thai chili). If I am busy (e.g. studying or grading homeworks), my wife will cook dinner. She likes to use the food from the garden in dishes she prepares. Assume she chooses 1 plant to include in any dinner she makes. Usually she’ll ask if I have any preferences, and I’ll just say “surprise me!” (a) Assume that she chooses a plant uniformly at random. What’s the probability that I will be surprised with a dinner that includes a dish with red cherry tomatoes? (b) Actually, I don’t think she chooses uniformly at random, she prefers spicy food. Assume that she likes choosing a hot pepper half of the time, and prefers Thai chili twice as much as the other two kinds of hot pepper. What is the probability model that represents her cooking?

Answer 1