Question

a bag with 10 marbles is shown below. (3 marbles are yellow, 2 are blue, and 5 are red.) a marble is chosen from the bag at random. what is the probability that it is not yellow?
write your answer as a fraction or a whole number.

Explanation:

Step1: Calculate the number of non - yellow marbles

The total number of marbles is \(n = 10\). The number of yellow marbles is \(y=3\). The number of non - yellow marbles \(m=n - y\). So, \(m = 10-3=7\).

Step2: Use the probability formula

The probability formula is \(P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the event \(A\) is choosing a non - yellow marble. The number of favorable outcomes (non - yellow marbles) is \(7\) and the total number of outcomes (total marbles) is \(10\). So, \(P=\frac{7}{10}\).

Answer:

\(\frac{7}{10}\)