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Welcome to the article You randomly choose one of the pens shown What is the theoretical probability of choosing a black pen A drawing shows 2 blue pens 2. 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!

You randomly choose one of the pens shown. What is the theoretical probability of choosing a black pen?

A drawing shows 2 blue pens, 2 black pens, and 1 red pen.

The theoretical probability is _____

Answer :

Answer:

[tex] \frac{2}{5} [/tex]

Step-by-step explanation:

The probability of event A happening is denoted by P(A). The probability of event A happening is given by the formula below:

[tex]\boxed{P(A) = \frac{number \: of \: favourable \: outcomes \: in \: A}{total \: possible \: outcomes}} [/tex]

Since there are 2 black pens, and only one pen is chosen, the number of favourable outcomes in choosing a black pen is 2.

The total possible outcomes is the total number of pens in this case.

P(black pen)

[tex] = \frac{2}{2 + 2 + 1} [/tex]

[tex] = \frac{2}{5} [/tex]

This is the theoretical probability as it is not determined from experimental results.

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Rewritten by : Brahmana