51) A committee of three people to be formed. The : 1413611
51) A committee of three people is to be formed. The three people will be selected from a list of five possible committee members. A simple random sample of three people is taken, without replacement, from the group of five people. Using the letters A, B, C, D, E to represent the five people, list the possible samples of size three and use your list to determine the probability that B is included in the sample. (Hint: There are 10 possible samples.) 51) ______
52) Brandon and Samantha each carry a bag containing a banana, a chocolate bar, and a licorice stick. Simultaneously, they take out a single food item and consume it. The possible pairs of food items that Brandon and Samantha consumed are as follows.
chocolate bar - chocolate bar
licorice stick - chocolate bar
banana - banana
chocolate bar - licorice stick
licorice stick - licorice stick
chocolate bar - banana
banana - licorice stick
licorice stick - banana
banana - chocolate bar
Find the probability that at least one chocolate bar was eaten.
53) A survey asked subjects whether they favored or opposed the death penalty for persons convicted of murder and whether they favored or opposed a law requiring a person to obtain a permit before he or she could buy a gun. The results are summarized in the table below:
What is the probability that a randomly selected respondent opposes the death penalty for persons convicted of murder?
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
54) You randomly sample a dozen people in your hometown, and 9 of them belong to a country club. Does this mean that the probability of belonging to a country club for residents of your hometown equals 0.75? Explain.
55) When entering data into a computer, the probability that a student will make at most three mistakes per 1,000 keystrokes is 0.71, and the probability of making anywhere from 4 to 6 mistakes per 1,000 keystrokes is 0.22. Find the probabilities that in 1,000 keystrokes the student will make
a.at most 6 mistakes
b.more than 3 mistakes
56) A new high school in a certain city called the New School, has a loose educational system with an emphasis on student-driven projects. It provides one-on-one attention and a sense of belonging to many students who feel lost in a large public high school. To evaluate the school and provide information to assess the future fate of this alternative high school, a review was conducted. The table given below compares the letter grades for students before and after they enrolled in New School. The comparison includes the 22 students enrolled in New School for at least two years.
a. What is the probability that a randomly selected student had an A (i) before enrolling in New School, (ii) after enrolling in New School?
b. If a student is randomly selected before enrolling in New School, what is the most likely letter grade for the student?
c. If a student is randomly selected after enrolling in New School, what is the most likely letter grade for the student?
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the probability of the given event.
57) A single fair die is rolled. The number on the die is a 3 or a 5.
58) Two fair dice are rolled. The sum of the numbers on the dice is 1 or 5.
59) A lottery game has balls numbered 1 through 15. A randomly selected ball has an even number or a 6.
60) A random spinner has equal-sized regions numbered 1 through 18. The spinner stops on an even number or a multiple of 3.