A box contains 8 red marbles, 3 white marbles, and 9 blue marbles. If a marble is randomly selected from the box, what is the probability that it is blue? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.

Question

Anonymous · Answer

The probability of randomly selecting a blue marble from a box containing 8 red, 3 white, and 9 blue marbles is 0.450 or 20 9 ​ . This is calculated by dividing the number of blue marbles by the total number of marbles. Thus, the chance of selecting a blue marble is 45%. 
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GinnyAnswer · Answer

Calculate the total number of marbles: 8 + 3 + 9 = 20 . 
 Determine the probability of selecting a blue marble: 20 9 ​ . 
 Convert the fraction to a decimal: 20 9 ​ = 0.45 . 
 The probability of selecting a blue marble is 0.450 ​ . 
 
 Explanation 
 
 Understand the problem We are given a box containing 8 red marbles, 3 white marbles, and 9 blue marbles. We want to find the probability of selecting a blue marble when one marble is randomly selected from the box. 
 
 Calculate the total number of marbles First, we need to find the total number of marbles in the box. We add the number of red, white, and blue marbles: 8 + 3 + 9 = 20 So, there are a total of 20 marbles in the box. 
 
 Calculate the probability of selecting a blue marble Next, we need to find the probability of selecting a blue marble. The probability is the number of blue marbles divided by the total number of marbles: P ( blue ) = Total number of marbles Number of blue marbles ​ = 20 9 ​ So, the probability of selecting a blue marble is 20 9 ​ . 
 
 Express the probability as a decimal Finally, we can express this probability as a decimal number rounded to three decimal places: 20 9 ​ = 0.45 So, the probability of selecting a blue marble is 0.450.

Examples 
 Imagine you have a bag of colored candies, and you want to know the chance of picking your favorite color. This problem is similar – it helps you understand how likely you are to pick a specific item from a group, based on the number of that item compared to the total number of items. For example, if you have a bag with 5 red candies and 5 blue candies, the probability of picking a red candy is 10 5 ​ or 0.5, meaning you have a 50% chance of picking a red candy.

A box contains 8 red marbles, 3 white marbles, and 9 blue marbles. If a marble is randomly selected from the box, what is the probability that it is blue? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.

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