OLI 9 #1
Question 1
Select one answer.
10 points
For a criminal trial, 8 active and 4 alternate jurors are selected. Two of the alternate jurors are male and two are female. During the trial, two of the active jurors are dismissed. The judge decides to randomly select two replacement jurors from the 4 available alternates. What is the probability that both jurors selected are female?
• 1/12
• ½
• ¼
• ?
Question 2
Select one answer.
10 points
Four students attempt to register online at the same time for an Introductory Statistics class that is full. Two are freshmen and two are sophomores. They are put on a wait list. Prior to the start of the semester, two enrolled students drop the course, so the professor decides to randomly select two of the four wait list students and gives them a seat in the class.
What is the probability that both students selected are freshmen?
• ?
• ¼
• ½
• 1/12
Question 3
Select one answer.
10 points
A person trying to gain access to a bank vault must pass through a series of three security doors. If an attempt to pass through a door is a failure, then the person will not make any further attempts. Let P denote a successful pass and F denote a failed pass. What is the sample space for this random experiment?
• S = {F, PF, PPF, PPP}
• S = {F, FP, FFP, FFF}
• S = {P, PP, PPP}
• S= {F, PF, PPF}
• S ={PPP, FPP, PFP, PPF, FFP, FPF, PFF, FFF}
Question 4
Select one answer.
10 points
A couple decides to have three children. Let A define the event that the couple has at least 1 girl. What are the possible outcomes for this event? (G=girl, B=boy)
• {G, BG, BBG}
• {G, GG, GGG}
• {BBB, BBG, BGB, GBB, GGB, GBG, BGG, GGG}
• {GGG, GGB, GBG, BGG, GBB, BGB, BBG}
• {GBB, BGB, BBG}

Question 1
Select one answer.
10 points
For a criminal trial, 8 active and 4 alternate jurors are selected. Two of the alternate jurors are male and two are female. During the trial, two of the active jurors are dismissed. The judge decides to randomly select two replacement jurors from the 4 available alternates. What is the probability that both jurors selected are female?
• 1/12
• ½
• ¼
• ?
Question 2
Select one answer.
10 points
Four students attempt to register online at the same time for an Introductory Statistics class that is full. Two are freshmen and two are sophomores. They are put on a wait list. Prior to the start of the semester, two enrolled students drop the course, so the professor decides to randomly select two of the four wait list students and gives them a seat in the class.
What is the probability that both students selected are freshmen?
• ?
• ¼
• ½
• 1/12
Question 3
Select one answer.
10 points
A person trying to gain access to a bank vault must pass through a series of three security doors. If an attempt to pass through a door is a failure, then the person will not make any further attempts. Let P denote a successful pass and F denote a failed pass. What is the sample space for this random experiment?
• S = {F, PF, PPF, PPP}
• S = {F, FP, FFP, FFF}
• S = {P, PP, PPP}
• S= {F, PF, PPF}
• S ={PPP, FPP, PFP, PPF, FFP, FPF, PFF, FFF}
Question 4
Select one answer.
10 points
A couple decides to have three children. Let A define the event that the couple has at least 1 girl. What are the possible outcomes for this event? (G=girl, B=boy)
• {G, BG, BBG}
• {G, GG, GGG}
• {BBB, BBG, BGB, GBB, GGB, GBG, BGG, GGG}
• {GGG, GGB, GBG, BGG, GBB, BGB, BBG}
• {GBB, BGB, BBG}

Question 1
Select one answer.
10 points
For a criminal trial, 8 active and 4 alternate jurors are selected. Two of the alternate jurors are male and two are female. During the trial, two of the active jurors are dismissed. The judge decides to randomly select two replacement jurors from the 4 available alternates. What is the probability that both jurors selected are female?
• 1/12
• ½
• ¼
• ?
Question 2
Select one answer.
10 points
Four students attempt to register online at the same time for an Introductory Statistics class that is full. Two are freshmen and two are sophomores. They are put on a wait list. Prior to the start of the semester, two enrolled students drop the course, so the professor decides to randomly select two of the four wait list students and gives them a seat in the class.
What is the probability that both students selected are freshmen?
• ?
• ¼
• ½
• 1/12
Question 3
Select one answer.
10 points
A person trying to gain access to a bank vault must pass through a series of three security doors. If an attempt to pass through a door is a failure, then the person will not make any further attempts. Let P denote a successful pass and F denote a failed pass. What is the sample space for this random experiment?
• S = {F, PF, PPF, PPP}
• S = {F, FP, FFP, FFF}
• S = {P, PP, PPP}
• S= {F, PF, PPF}
• S ={PPP, FPP, PFP, PPF, FFP, FPF, PFF, FFF}
Question 4
Select one answer.
10 points
A couple decides to have three children. Let A define the event that the couple has at least 1 girl. What are the possible outcomes for this event? (G=girl, B=boy)
• {G, BG, BBG}
• {G, GG, GGG}
• {BBB, BBG, BGB, GBB, GGB, GBG, BGG, GGG}
• {GGG, GGB, GBG, BGG, GBB, BGB, BBG}
• {GBB, BGB, BBG}