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

`(2)/(5)`

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) = (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)

`= (2)/(2 + 2 + 1)`

`= (2)/(5)`

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