Question

Find the probability of randomly choosing a red marble from the given bag of red and white marbles. Number of red marbles: 8 Total number of marbles: 40

Short answer

The probability of drawing a red marble is \( \frac{1}{5} \) or 0.2.

Step-by-step solution

Determine the Total Number of Marbles

Look at the total number of marbles in the bag, which is given as 40. This is an important number because it is the 'sample space', or total number of outcomes.

Determine the Number of Red Marbles

Find the number of red marbles, which is given as 8. This is our 'favorable outcome', or the specific outcome we are interested in.

Calculate the Probability

To calculate the probability of drawing a red marble, divide the number of red marbles by the total number of marbles. In mathematical notation, this would be written as \( P(Red) = \frac{8}{40} \).