Question

Find the probability of randomly choosing a red marble from the given bag of red and white marbles. Number of red marbles: 16 Total number of marbles: 64

Short answer

The probability of randomly choosing a red marble from the bag is 0.25 or 25%.

Step-by-step solution

Identify the total outcomes

The total number of outcomes is equal to the total number of marbles in the bag. According to the problem, we have a total of 64 marbles in the bag.

Identify the desired outcomes

The desirable outcomes are the outcomes that we are interested in, in this instance, choosing a red marble. So, the number of desirable outcomes will equal the number of red marbles given in the bag which is, 16.

Calculate the probability

The probability is calculated as the ratio between the number of desirable outcomes and the total number of outcomes. Hence, the probability \(P\) of choosing a red marble is \(\frac{16}{64}\).