List the Sample Space for This Problem

Assignment: Probability Investigation

Part 1:

Bobby is a student in Mrs. Hudson’s class. Assuming you know nothing else about Bobby, what is the probability that Bobby’s birthday will fall on a Tuesday in any given year?

List the sample space for this problem.

(1 through 365)

Which outcome (or outcomes) of the sample space composes the event?

52

Express the probability of Bobby’s birthday falling on a Tuesday as a fraction and as a decimal.
7/50 .14

Describe the probability of Bobby’s birthday falling on a Tuesday as impossible, unlikely, neither likely nor unlikely, likely or certain. Justify your response.

Neither likely or unlikely because most of the other days of the week occur around 52 times throughout the year.

Part 2:

Kay is a student in Mrs. Hudson’s class. Assuming you know nothing else about Kay, what is the probability that Kay’s birthday will fall on a weekday in any given year?

List the sample space for this problem.

Which outcome (or outcomes) of the sample space composes the event?

Express the probability of Kay’s birthday falling on a weekday as a fraction and as a decimal.

Describe the probability of Kay’s birthday falling on a weekday as impossible, unlikely, neither likely nor unlikely, likely or certain. Justify your response.

Part 3:

Anne is one of 24 students in her class. One student will be selected for the student senate. Assuming all students have an equal chance of being selected, what is the probability that she will be chosen?

Describe the sample space for this problem.

Which outcome (or outcomes) of the sample space composes the event?

Express the probability of Anne being chosen for the student senate as a fraction and as a decimal.

Describe the probability of Anne being chosen for the student senate as impossible, unlikely, neither likely nor unlikely, likely or certain. Justify your response.

Part 4:

Amy, Bess, Cassie, Diana, and Ellen are a basketball team. Two of them will be guards. Assuming they all have an equal chance of becoming guards, what is the probability that Diana will be a guard.

List or diagram the sample space for this problem.

Which outcome (or outcomes) of the sample space composes the event?

Express the probability of Diana becoming a guard as a fraction and as a decimal.

Describe the probability Diana becoming a guard as impossible, unlikely, neither likely nor unlikely, likely or certain. Justify your response.

Part 5:

There are 1200 students at Sophie’s school. One student’s name will be drawn at random to win a new bike. What is the probability that Sophie will win the bike?

Describe the sample space for this problem.

Which outcome (or outcomes) of the sample space composes the event?

Express the probability of Sophie winning the bike as a fraction and as a decimal.

Describe the probability Sophie winning the bike as impossible, unlikely, neither likely nor unlikely, likely or certain. Justify your response.

Part 6:

There are 1200 students at Sophie’s school. One student’s name will be drawn at random to win a new bike. Hannah and Ethan are Sophie’s best friends. What is the probability that
Sophie, Hannah, or Ethan will win the bike?

Describe the sample space for this problem.

Which outcome (or outcomes) of the sample space composes the event?

Express the probability Sophie, Hannah, or Ethan win the bike as a fraction and as a decimal.

Describe the probability Sophie, Hannah, or Ethan win the bike as impossible, unlikely, neither likely nor unlikely, likely or certain. Justify your response.

Part 7:

The city of Maple Grove is choosing a month for their Heritage Festival. Assuming that all months have an equal probability of being chosen, what is the probability the festival will take place during a month with a name that ends in “r.”

Describe the sample space for this problem.

Which outcome (or outcomes) of the sample space composes the event?

Express the probability of the festival occurring in a month ending in “r” as a fraction and as a decimal.

Describe the probability of the festival occurring in a month ending in “r” as impossible, unlikely, neither likely nor unlikely, likely or certain. Justify your response.

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