A Waterpark Is Considering What To Name A New Attraction. Five Out Of The 25 Possible Names Begin With The Letter $S$. What Is The Probability Of Choosing A Name That Does NOT Begin With The Letter $S$?A. $P \left( S^{C}

Feb 26, 2025 by ADMIN 226 views

A Waterpark's Naming Conundrum: Calculating the Probability of Choosing a Non-S Name

Introduction

When it comes to naming a new attraction at a waterpark, the possibilities are endless. With 25 potential names to choose from, the decision can be a daunting one. However, what if we were to narrow down the options to those that begin with a specific letter? In this case, five out of the 25 possible names begin with the letter S. The question remains: what is the probability of choosing a name that does NOT begin with the letter S?

Understanding the Basics of Probability

Probability is a measure of the likelihood of an event occurring. It is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the favorable outcomes are the names that do NOT begin with the letter S, and the total number of possible outcomes is the total number of names.

Calculating the Probability of Choosing a Non-S Name

To calculate the probability of choosing a non-S name, we need to first determine the number of names that do NOT begin with the letter S. Since there are 25 possible names in total, and 5 of them begin with the letter S, the number of non-S names is:

25 (total names) - 5 (S names) = 20

Now, we can calculate the probability of choosing a non-S name by dividing the number of non-S names by the total number of names:

P(non-S) = Number of non-S names / Total number of names = 20 / 25 = 0.8

Converting the Probability to a Percentage

To make the probability more intuitive, we can convert it to a percentage by multiplying it by 100:

P(non-S) = 0.8 x 100 = 80%

Conclusion

In conclusion, the probability of choosing a name that does NOT begin with the letter S is 80%. This means that out of the 25 possible names, 20 of them do not start with the letter S. By understanding the basics of probability and calculating the probability of choosing a non-S name, we can make informed decisions when it comes to naming a new attraction at a waterpark.

Frequently Asked Questions

What is the probability of choosing a name that begins with the letter S? The probability of choosing a name that begins with the letter S is 5/25, or 20%.
How many names do not begin with the letter S? There are 20 names that do not begin with the letter S.
What is the total number of possible names? There are 25 possible names in total.

Final Thoughts

When it comes to naming a new attraction at a waterpark, the possibilities are endless. By understanding the basics of probability and calculating the probability of choosing a non-S name, we can make informed decisions and choose a name that is both unique and memorable. Whether you're a waterpark owner or simply a fan of probability, this calculation is sure to be a splashy success!

Introduction

In our previous article, we explored the probability of choosing a name that does NOT begin with the letter S for a new attraction at a waterpark. We calculated the probability to be 80%, or 20 out of 25 possible names. In this article, we'll delve deeper into the world of probability and answer some frequently asked questions related to the topic.

Q&A

Q: What is the probability of choosing a name that begins with the letter S?

A: The probability of choosing a name that begins with the letter S is 5/25, or 20%. This is because there are 5 names that begin with the letter S out of a total of 25 possible names.

Q: How many names do not begin with the letter S?

A: There are 20 names that do not begin with the letter S. This is calculated by subtracting the number of S names (5) from the total number of names (25).

Q: What is the total number of possible names?

A: There are 25 possible names in total. This is the number of names that the waterpark is considering for the new attraction.

Q: What is the probability of choosing a name that begins with the letter T?

A: Since there is no information provided about the number of names that begin with the letter T, we cannot calculate the probability. However, we can calculate the probability of choosing a name that begins with any letter other than S, which is 20/25, or 80%.

Q: What is the probability of choosing a name that begins with the letter A?

A: Since there is no information provided about the number of names that begin with the letter A, we cannot calculate the probability. However, we can calculate the probability of choosing a name that begins with any letter other than S, which is 20/25, or 80%.

Q: Can I use this calculation to determine the probability of choosing a name that begins with a specific letter?

A: Yes, you can use this calculation to determine the probability of choosing a name that begins with a specific letter, as long as you know the number of names that begin with that letter.

Q: What if I want to calculate the probability of choosing a name that begins with a specific letter, but I don't know the number of names that begin with that letter?

A: In that case, you would need to know the number of names that begin with that letter in order to calculate the probability.

Q: Can I use this calculation to determine the probability of choosing a name that begins with a specific letter in a different context?

A: Yes, you can use this calculation to determine the probability of choosing a name that begins with a specific letter in a different context, as long as you know the number of names that begin with that letter and the total number of names.

Conclusion

Frequently Asked Questions

What is the probability of choosing a name that begins with the letter S? The probability of choosing a name that begins with the letter S is 5/25, or 20%.
How many names do not begin with the letter S? There are 20 names that do not begin with the letter S.
What is the total number of possible names? There are 25 possible names in total.