Melissa Has A Bag That Contains 6 Red Marbles, 8 Yellow Marbles, And 18 Blue Marbles. If She Chooses One Marble From The Bag, What Is The Probability That The Marble Is Not Blue?A. $\frac{9}{16}$ B. $\frac{7}{16}$ C.
Introduction
In probability theory, the likelihood of an event occurring is measured by its probability. In this article, we will explore the concept of probability and apply it to a real-world scenario. We will calculate the probability of choosing a non-blue marble from a bag containing red, yellow, and blue marbles.
The Problem
Melissa has a bag that contains 6 red marbles, 8 yellow marbles, and 18 blue marbles. If she chooses one marble from the bag, what is the probability that the marble is not blue?
Understanding Probability
Probability is a measure of the likelihood of an event occurring. It is usually expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. In this case, we want to find the probability of choosing a non-blue marble from the bag.
Calculating the Probability
To calculate the probability of choosing a non-blue marble, we need to find the total number of non-blue marbles and divide it by the total number of marbles in the bag.
The total number of non-blue marbles is the sum of the number of red marbles and the number of yellow marbles:
6 (red marbles) + 8 (yellow marbles) = 14
The total number of marbles in the bag is the sum of the number of red marbles, the number of yellow marbles, and the number of blue marbles:
6 (red marbles) + 8 (yellow marbles) + 18 (blue marbles) = 32
Now, we can calculate the probability of choosing a non-blue marble:
Probability = (Number of non-blue marbles) / (Total number of marbles) = 14 / 32 = 7/16
Conclusion
In this article, we calculated the probability of choosing a non-blue marble from a bag containing red, yellow, and blue marbles. We found that the probability is 7/16. This means that if Melissa chooses one marble from the bag, there is a 7/16 chance that the marble is not blue.
Real-World Applications
Understanding probability is essential in many real-world applications, such as:
- Insurance: Insurance companies use probability to calculate the likelihood of an event occurring, such as a car accident or a natural disaster.
- Finance: Financial institutions use probability to calculate the likelihood of a stock or a bond performing well or poorly.
- Medicine: Medical professionals use probability to calculate the likelihood of a patient recovering from a disease or experiencing a side effect from a medication.
Final Thoughts
Introduction
In our previous article, we calculated the probability of choosing a non-blue marble from a bag containing red, yellow, and blue marbles. We found that the probability is 7/16. In this article, we will answer some frequently asked questions related to the topic.
Q&A
Q: What is the probability of choosing a blue marble from the bag?
A: To find the probability of choosing a blue marble, we need to divide the number of blue marbles by the total number of marbles in the bag.
Number of blue marbles = 18 Total number of marbles = 32
Probability = (Number of blue marbles) / (Total number of marbles) = 18 / 32 = 9/16
So, the probability of choosing a blue marble from the bag is 9/16.
Q: What is the probability of choosing a red marble from the bag?
A: To find the probability of choosing a red marble, we need to divide the number of red marbles by the total number of marbles in the bag.
Number of red marbles = 6 Total number of marbles = 32
Probability = (Number of red marbles) / (Total number of marbles) = 6 / 32 = 3/16
So, the probability of choosing a red marble from the bag is 3/16.
Q: What is the probability of choosing a yellow marble from the bag?
A: To find the probability of choosing a yellow marble, we need to divide the number of yellow marbles by the total number of marbles in the bag.
Number of yellow marbles = 8 Total number of marbles = 32
Probability = (Number of yellow marbles) / (Total number of marbles) = 8 / 32 = 1/4
So, the probability of choosing a yellow marble from the bag is 1/4.
Q: What is the probability of choosing a non-red marble from the bag?
A: To find the probability of choosing a non-red marble, we need to find the total number of non-red marbles and divide it by the total number of marbles in the bag.
Number of non-red marbles = Number of yellow marbles + Number of blue marbles = 8 + 18 = 26
Total number of marbles = 32
Probability = (Number of non-red marbles) / (Total number of marbles) = 26 / 32 = 13/16
So, the probability of choosing a non-red marble from the bag is 13/16.
Q: What is the probability of choosing a non-yellow marble from the bag?
A: To find the probability of choosing a non-yellow marble, we need to find the total number of non-yellow marbles and divide it by the total number of marbles in the bag.
Number of non-yellow marbles = Number of red marbles + Number of blue marbles = 6 + 18 = 24
Total number of marbles = 32
Probability = (Number of non-yellow marbles) / (Total number of marbles) = 24 / 32 = 3/4
So, the probability of choosing a non-yellow marble from the bag is 3/4.
Conclusion
In this article, we answered some frequently asked questions related to the probability of choosing a non-blue marble from a bag containing red, yellow, and blue marbles. We found the probabilities of choosing a blue marble, a red marble, a yellow marble, a non-red marble, and a non-yellow marble.