Define a sample space S for each of the following experiments. a. Submit five brands of coffee, labeled A, B, C, D, and E to a panel of judges for appraisal. A best-tasting and worst-tasting brand are to be chosen and the labels are to be recorded.
b. Randomly arrange the letters a, t, and c in a row. Record the arrangement of the three letters.
c. The possible scores on a certain test are H, P, and F, for High Pass, Pass, and Fail, respectively. Give this test to two students and record their scores on the test.
d. Toss a coin three times and record the outcome after each toss.
e. Toss a coin until a head appears, and record the number of tosses required.
f. Toss a coin three times and record the number of heads.
g. Susan has a penny, a nickel, a dime, and a quarter in her coin purse. She randomly selects another coin from the purse and records the value of the second coin also.
h. Suppose that instead of recording the values of both coins, Susan records only the sum of the values of the two coins.