Three dice are dropped at random into a frame where they sit snugly in a row (see the figure). We wish to model this experiment using a sample space, (S, P). a. How many outcomes are in S if we think of the dice as being identical? b. How many outcomes are in S if we think of the dice as being distinct (e.g., each of the three dice is a different color).

14 Sammy & Owen toss a coin three times for the best two out of three tosses. Sammy lists the sample space first: (T=tails, H=heads) HHH, HHT, HTH, HTT, THT, TTH, TTT. Owen notes that one possibility is missing. Which one is it? a. THH b. TTT c. HTT d. TIH

10

An experiment is performed where a 3-color spinner is spun and then a 4-sided die is rolled. The possible outcomes for each event are red (R), blue (B), and yellow (Y) for the 3-color spinner and 1, 2, 3, and 4 for the 4-sided die. Identify the sample space for this experiment.

Describe matched-pair design experiments. Which of these statements best describes a matched-pair design? a.) A design in which an entire sample is divided into pairs, and then the pairs are matched together at random. b.) A design in which the total population is randomly divided into groups of equal size and a treatment is assigned to each group. c.) A design in which only two treatments are tested on pairs of similar subjects. d.) A design in which the total population is divided into homogeneous blocks and a treatment is assigned to every element of the block.

Q40 ABCDE

A coin is flipped once. If the result is a heads, the coin is flipped 2 more times, and the result (heads or tails) of each successive flip is noted. If the result is a tails, the coin is flipped 3 more times and the result of each successive flip is noted. How many possible outcomes are in the sample space of this experiment?