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A bag with 12 marbles has 4 yellow marbles, 3 red marbles, and 5 blue marbles. A marble is chosen from the bag at random. What is the probability that it is yellow? Write your answer as a fraction in simplest form. 0 010 X ala ?

A bag with 12 marbles has 4 yellow marbles, 3 red marbles, and 5 blue marbles. A marble-example-1
User Thinh NV
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2 Answers

24 votes
24 votes

The calculated probability that the selected marble is yellow is 1/3

How to determine the probability that the selected marble is yellow

From the question, we have the following parameters that can be used in our computation:

4 yellow marbles, 3 red marbles, and 5 blue

So, we have

Total = 4 + 3 + 5

Total = 12

Using the above as a guide, we have the following:

P(Yellow) = Yellow/Total

Substitute the known values into the equation

P(Yellow) = 4/12

Simplify

P(Yellow) = 1/3

Hence, the probability that the selected marble is yellow is 1/3

User Sagar Gupta
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3.0k points
21 votes
21 votes

Step-by-step explanation:

In the bag, there are 12 marbles and 4 are yellow.

We need to find the probability that when choosing a marble at random the marble will be yellow.

The formula we use to calculate the probability is:


Probability=\frac{Number\text{ of favorable events }}{Total\text{ number of events}}

Here, the total number of events is 12 marbles, and the number of favorable events is the number of yellow marbles:


Probability=(4)/(12)

Since we need the answer as a fraction in the simplest form, we need to simplify our result.

4 and 12 can each be divided by 4, and the final probability is:


Probability=(1)/(3)

Answer:


(1)/(3)

User Unflores
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3.1k points