Q4 2020-2021 Math 30-2 SAO Unit 2 Counting Methods Assignments /16 marks
Written Response: You must show all work for full marks. All work includes any symbols (n!, Pr,
nCr, etc.) used before typing into your calculator. 2 marks each.
1. Sarah is an interior designer and is re decorating a living room. She has some available
furniture in different colors. She has three couches that are black, grey or beige. Two large
chairs that are blue and green. She also has 2 coffee tables that are glass or marble. Create
a tree diagram and list all possible variations of furniture with one couch, one chair and one
coffee table. Use the fundamental counting principle to verify the total number of total
furniture variations. (2 marks)

In a test for esp (extrasensory perception), the experimenter looks at cards that are hidden from the subject. each card contains either a star, a circle, a wave, a cross or a square.(five shapes) as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. when the esp study described above discovers a subject whose performance appears to be better than guessing, the study continues at greater length. the experimenter looks at many cards bearing one of five shapes (star, square, circle, wave, and cross) in an order determined by random numbers. the subject cannot see the experimenter as he looks at each card in turn, in order to avoid any possible nonverbal clues. the answers of a subject who does not have esp should be independent observations, each with probability 1/5 of success. we record 1000 attempts. which of the following assumptions must be met in order to solve this problem? it's reasonable to assume normality 0.8(1000), 0.2(1000)%30 approximately normal 0.8(1000), 0.2(1000)% 10 approximately normal srs it is reasonable to assume the total number of cards is over 10,000 it is reasonable to assume the total number of cards is over 1000