Answer :
To determine the probability that Ricardo, who is a member of the poetry club but not an officer, will be selected as the student government representative from the members who are not officers, follow these steps:
1. Identify the Total Number of Members:
- The club consists of 28 officers.
- There are also 13 members who are not officers.
Therefore, the total number of members in the club is:
[tex]\[ 28 + 13 = 41 \][/tex]
2. Identify the Number of Eligible Members:
- Only the members who are not officers are eligible for the selection.
- The number of non-officer members (eligible members) is given as 13.
3. Calculate the Probability:
- Probability is defined as the favorable outcome divided by the total number of possible outcomes.
- The favorable outcome here is selecting Ricardo.
- Since there are 13 members who are not officers, and each of them has an equal chance of being selected, the probability that Ricardo will be picked is:
[tex]\[ \frac{1}{13} \][/tex]
4. Result:
- The probability that Ricardo will be selected is [tex]\(\frac{1}{13}\)[/tex], which approximates to 0.07692307692307693.
Therefore, the correct answer is not listed among the provided options, but based on the step-by-step calculation, it's clear that the probability of selecting Ricardo is [tex]\( \frac{1}{13} \)[/tex] or 0.07692307692307693.
1. Identify the Total Number of Members:
- The club consists of 28 officers.
- There are also 13 members who are not officers.
Therefore, the total number of members in the club is:
[tex]\[ 28 + 13 = 41 \][/tex]
2. Identify the Number of Eligible Members:
- Only the members who are not officers are eligible for the selection.
- The number of non-officer members (eligible members) is given as 13.
3. Calculate the Probability:
- Probability is defined as the favorable outcome divided by the total number of possible outcomes.
- The favorable outcome here is selecting Ricardo.
- Since there are 13 members who are not officers, and each of them has an equal chance of being selected, the probability that Ricardo will be picked is:
[tex]\[ \frac{1}{13} \][/tex]
4. Result:
- The probability that Ricardo will be selected is [tex]\(\frac{1}{13}\)[/tex], which approximates to 0.07692307692307693.
Therefore, the correct answer is not listed among the provided options, but based on the step-by-step calculation, it's clear that the probability of selecting Ricardo is [tex]\( \frac{1}{13} \)[/tex] or 0.07692307692307693.
