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Welcome to the article Sonya has a pen case that contains 16 black pens and 8 red pens If Sonya randomly reaches into the case to choose a pen. 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!

Sonya has a pen case that contains 16 black pens and 8 red pens. If Sonya randomly reaches into the case to choose a pen, what is the probability that she chooses a red pen?

Sonya has a pen case that contains 16 black pens and 8 red pens If Sonya randomly reaches into the case to choose a pen

Answer :

Explanation

The probability formula is:

[tex]P(event)=\frac{\text{ Number of favorable outcomes}}{\text{ Total number of outcomes}}[/tex]

In this case, we have:

• The number of favorable outcomes is 8 because there are 8 red pens in the pen case.

,

• The total number of outcomes is 24 because there are 24 pens in total in the pen case.

[tex]\begin{gathered} P(\text{She chooses a red pen})=\frac{8}{24} \\ \text{ Simplifying} \\ P(\text{She chooses a red pen})=\frac{8\cdot1}{8\cdot3} \\ P(\text{She chooses a red pen})=\frac{1}{3} \end{gathered}[/tex]Answer

The probability that she chooses a red pen is 1/3.

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Rewritten by : Brahmana