Question

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_____
PLS HURRY!

Answer 1

Answer:

$\frac{2}{5}$

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:

$\boxed{P(A) = \frac{number \: of \: favourable \: outcomes \: in \: A}{total \: possible \: outcomes}}$

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)

$= \frac{2}{2 + 2 + 1}$

$= \frac{2}{5}$

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