Question 1 {20 points] Suppose that 100 people enter a contest and that different winners are selected at random for first, second and third prizes. What is the probability that Michelle. Kumar and Janice wins one of these prizes? Question 2 {20 points] A robot must select words to say. The robot randomly select between parts of speech to speak. For example. it can select a determiner, a noun. a verb. another determiner and another noun, and say "that man was a dog". The robot cannot repeat the same word twice in a sentence. What is the probability that it selects a determiner, then a noun, then verb, then a preposition, then a determiner. and lastly a noun? Possible determiners: the, a, that Possible nouns: dog, man. submarine, cat, house Possible verbs: is. was, went Possible prepositions: in, on, about O 0.000143 0 0.000268 0 0.000499 0 0.000936