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Welcome to the article A box contains 14 red pens and 15 blue pens and a pen is selected from the box randomly Is the probability that a red. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!

A box contains 14 red pens and 15 blue pens, and a pen is selected from the box randomly.

Is the probability that a red pen is selected 0.07?

True or false?

Answer :

To determine whether the statement is true or false, let's calculate the probability of selecting a red pen from the box.

  1. Understanding the Total Number of Pens:

    • The total number of red pens in the box is 14.
    • The total number of blue pens in the box is 15.
    • Therefore, the total number of pens in the box is:
      [tex]14 + 15 = 29[/tex]

  2. Calculating the Probability of Selecting a Red Pen:

    • The probability of selecting a red pen is the number of red pens divided by the total number of pens.
    • Using the formula for probability, we have:
      [tex]\text{Probability of a red pen} = \frac{\text{Number of red pens}}{\text{Total number of pens}} = \frac{14}{29}[/tex]

  3. Simplifying the Calculation:

    • Performing the division gives us approximately:
      [tex]\frac{14}{29} \approx 0.4828[/tex]

  4. Evaluating the Statement:

    • The calculated probability (0.4828) does not match the given probability (0.07).
    • Therefore, the statement that the probability a red pen is selected is 0.07 is False.

Thus, the statement provided in the question is incorrect. The correct probability of selecting a red pen is approximately 0.4828.

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Rewritten by : Brahmana