A box contains 51 red marbles, 14 white marbles, and 81 blue marbles. If a marble is randomly selected from the box, what is the probability that it is red? Express your answer as a simplified fraction or a decimal rounded to four decimal places.

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Answer:

51/146

Step-by-step explanation:

The probability of getting a red marble is [tex]\dfrac{51}{146}[/tex].

Important information:

  • Number of red marbles: 51
  • Number of white marbles: 14
  • Number of blue marbles: 81
  • A marble is randomly selected from the box

Probability:

The total number of marbles in the box is:

[tex]51+14+81=146[/tex]

Probability that the selected marble is red:

[tex]P(\text{Red})=\dfrac{\text{Red marbles}}{\text{Total marbles}}[/tex]

[tex]P(\text{Red})=\dfrac{51}{146}[/tex]

Thus, the probability of getting a red marble is [tex]\dfrac{51}{146}[/tex].

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