We want to calculate the probability of drawing a red marble. In this case, we define the event A to be the event we draw a red marble.
To do so, we will use the following principle to calculate the probability:
We will count the total number of possibilities that we have to make the event to be true and then divide it by the total number of possibilites we have.
When drawing a marble, we have a total of 74 possibilites to chose (22 red marbles and 52 blue marbles).
Also, note that to draw a red marble, we have a total of 22 posibilities from where we can choose.
So, using the depicted principle, we will calculate the probability as follows:
which rounded to three decimal places would lead to