Answer :
To determine the probability that the next fountain drink ordered is a lemonade, let's go through the problem step by step.
1. Identify the total number of fountain drinks served:
- Total fountain drinks served = 111
2. Identify the number of lemonades served:
- Number of lemonades served = 23
3. Calculate the probability:
- The probability of an event is given by the ratio of the number of favorable outcomes to the total number of possible outcomes.
- Here, the number of favorable outcomes (ordering a lemonade) is 23.
- The total number of possible outcomes (total drinks served) is 111.
4. Formulate the probability:
[tex]\[ \text{Probability of ordering a lemonade} = \frac{\text{Number of lemonades served}}{\text{Total fountain drinks served}} = \frac{23}{111} \][/tex]
5. Compare with the provided options:
- Option (A) is [tex]\(\frac{88}{111}\)[/tex]
- Option (B) is [tex]\(\frac{23}{111}\)[/tex]
From the calculations, the correct probability that the next fountain drink ordered will be a lemonade is indeed [tex]\(\frac{23}{111}\)[/tex].
Therefore, the best answer is:
(B) [tex]\(\frac{23}{111}\)[/tex]
1. Identify the total number of fountain drinks served:
- Total fountain drinks served = 111
2. Identify the number of lemonades served:
- Number of lemonades served = 23
3. Calculate the probability:
- The probability of an event is given by the ratio of the number of favorable outcomes to the total number of possible outcomes.
- Here, the number of favorable outcomes (ordering a lemonade) is 23.
- The total number of possible outcomes (total drinks served) is 111.
4. Formulate the probability:
[tex]\[ \text{Probability of ordering a lemonade} = \frac{\text{Number of lemonades served}}{\text{Total fountain drinks served}} = \frac{23}{111} \][/tex]
5. Compare with the provided options:
- Option (A) is [tex]\(\frac{88}{111}\)[/tex]
- Option (B) is [tex]\(\frac{23}{111}\)[/tex]
From the calculations, the correct probability that the next fountain drink ordered will be a lemonade is indeed [tex]\(\frac{23}{111}\)[/tex].
Therefore, the best answer is:
(B) [tex]\(\frac{23}{111}\)[/tex]
