Total Number of Fish in the Aquarium

Oct 13, 2025 by leolavanderia.com.br 95 views

Introduction

In this article, we will explore the concept of probability in the context of an aquarium containing various types of fish. We will calculate the probability of two specific events: (1) a fighter fish being taken out randomly, and (2) a non-goldfish being taken out randomly. This discussion will delve into the world of mathematics, specifically probability theory, to provide a comprehensive understanding of these events.

Total Number of Fish in the Aquarium

Let's start by identifying the total number of fish in the aquarium. We have:

20 Goldfish
12 Angle fish
8 Fighter fishes

To find the total number of fish, we simply add these numbers together:

20 (Goldfish) + 12 (Angle fish) + 8 (Fighter fishes) = 40

Probability of a Fighter Fish Being Taken Out Randomly

Now, let's calculate the probability of a fighter fish being taken out randomly from the aquarium. To do this, we need to divide the number of fighter fishes by the total number of fish:

Probability of a fighter fish = Number of fighter fishes / Total number of fish = 8 / 40 = 0.2

Probability of Not a Goldfish Being Taken Out Randomly

Next, let's calculate the probability of a non-goldfish being taken out randomly from the aquarium. To do this, we need to find the total number of non-goldfish and divide it by the total number of fish:

Total number of non-goldfish = Total number of fish - Number of goldfish = 40 - 20 = 20

Probability of a non-goldfish = Total number of non-goldfish / Total number of fish = 20 / 40 = 0.5

Interpretation of Results

In the first scenario, the probability of a fighter fish being taken out randomly is 0.2, or 20%. This means that if we were to randomly select a fish from the aquarium, there is a 20% chance that it would be a fighter fish.

In the second scenario, the probability of a non-goldfish being taken out randomly is 0.5, or 50%. This means that if we were to randomly select a fish from the aquarium, there is a 50% chance that it would not be a goldfish.

Conclusion

In conclusion, we have calculated the probability of two specific events in an aquarium: (1) a fighter fish being taken out randomly, and (2) a non-goldfish being taken out randomly. These calculations demonstrate the importance of probability theory in understanding the likelihood of events in various contexts.

Probability Formulas

To calculate the probability of an event, we can use the following formula:

Probability = Number of favorable outcomes / Total number of outcomes

In the case of the fighter fish, the number of favorable outcomes is 8 (the number of fighter fishes), and the total number of outcomes is 40 (the total number of fish).

In the case of the non-goldfish, the number of favorable outcomes is 20 (the total number of non-goldfish), and the total number of outcomes is 40 (the total number of fish).

Real-World Applications

Probability theory has numerous real-world applications, including:

Insurance: Probability is used to calculate the likelihood of an event occurring, such as a car accident or a natural disaster.
Finance: Probability is used to calculate the likelihood of a stock or investment performing well.
Medicine: Probability is used to calculate the likelihood of a patient responding to a treatment.
Engineering: Probability is used to calculate the likelihood of a system failing or performing well.

Final Thoughts

Introduction

In our previous article, we explored the concept of probability in the context of an aquarium containing various types of fish. We calculated the probability of two specific events: (1) a fighter fish being taken out randomly, and (2) a non-goldfish being taken out randomly. In this article, we will answer some frequently asked questions related to probability in an aquarium.

Q&A

Q: What is the probability of a goldfish being taken out randomly from the aquarium?

A: To calculate the probability of a goldfish being taken out randomly, we need to divide the number of goldfish by the total number of fish:

Probability of a goldfish = Number of goldfish / Total number of fish = 20 / 40 = 0.5

So, the probability of a goldfish being taken out randomly is 0.5, or 50%.

Q: What is the probability of an angle fish being taken out randomly from the aquarium?

A: To calculate the probability of an angle fish being taken out randomly, we need to divide the number of angle fish by the total number of fish:

Probability of an angle fish = Number of angle fish / Total number of fish = 12 / 40 = 0.3

So, the probability of an angle fish being taken out randomly is 0.3, or 30%.

Q: What is the probability of two fighter fishes being taken out randomly from the aquarium?

A: To calculate the probability of two fighter fishes being taken out randomly, we need to multiply the probability of one fighter fish being taken out randomly by itself:

Probability of two fighter fishes = Probability of one fighter fish × Probability of one fighter fish = 0.2 × 0.2 = 0.04

So, the probability of two fighter fishes being taken out randomly is 0.04, or 4%.

Q: What is the probability of a non-goldfish being taken out randomly from the aquarium, given that there are 10 more angle fish added to the aquarium?

A: To calculate the probability of a non-goldfish being taken out randomly, we need to find the total number of non-goldfish and divide it by the total number of fish:

Total number of non-goldfish = Total number of fish - Number of goldfish = 50 - 20 = 30

Probability of a non-goldfish = Total number of non-goldfish / Total number of fish = 30 / 50 = 0.6

So, the probability of a non-goldfish being taken out randomly is 0.6, or 60%.

Q: What is the probability of a fighter fish being taken out randomly from the aquarium, given that there are 5 more fighter fishes added to the aquarium?

A: To calculate the probability of a fighter fish being taken out randomly, we need to divide the new number of fighter fishes by the new total number of fish:

New number of fighter fishes = 8 + 5 = 13

New total number of fish = 40 + 5 = 45

Probability of a fighter fish = New number of fighter fishes / New total number of fish = 13 / 45 = 0.29

So, the probability of a fighter fish being taken out randomly is 0.29, or 29%.