Probability of Selecting Officers

The video tutorial explains how to calculate the probability of selecting a specific set of officers from a club of nine people. It breaks down the problem into calculating the total number of possible outcomes and then determining the probability of one specific outcome, where Marcia is President, Sabita is Vice President, and Robert is Secretary. The total number of permutations is calculated as 9 times 8 times 7, resulting in 504 possible outcomes. The probability of the specific officer arrangement is then determined to be 1 out of 504.

How many people are in the club that wants to choose a board of officers?

• Twelve

• Nine

• Six

• Fifteen

What is the specific officer arrangement being considered in the problem?

• Marcia as Secretary, Sabita as President, Robert as Vice President

• Marcia as President, Sabita as Vice President, Robert as Secretary

• Marcia as Vice President, Sabita as Secretary, Robert as President

• Marcia as President, Sabita as Secretary, Robert as Vice President

What is the first step in calculating the total number of possible outcomes?

• Choosing the President

• Choosing the Vice President

• Choosing the Secretary

• Choosing all officers at once

How many people are available to choose from for the Vice President position after the President is chosen?

• Six

• Eight

• Seven

• Nine

What is the total number of permutations for selecting the officers?

• 252

• 360

• 720

• 504

What is the probability of Marcia being President, Sabita being Vice President, and Robert being Secretary?

• 1/504

• 1/252

• 1/360

• 1/72