Question

a jar contains 3 white marbles, 2 orange marbles, 5 yellow marbles, and 6 black marbles. if a marble is drawn at random, find the probability that the marble is not yellow. what is the probability that the marble is not yellow? (simplify your answer. type an integer or a fraction.)

Explanation:

Step1: Calculate total number of marbles

First, we find the total number of marbles by adding the number of each color. So, \(3 + 2 + 5 + 6 = 16\) marbles in total.

Step2: Calculate number of non - yellow marbles

The number of yellow marbles is 5, so the number of non - yellow marbles is total marbles minus yellow marbles. That is \(16 - 5 = 11\).

Step3: Calculate probability of non - yellow marble

The probability of an event is the number of favorable outcomes (non - yellow marbles) divided by the number of total outcomes (total marbles). So the probability \(P(\text{not yellow})=\frac{\text{number of non - yellow marbles}}{\text{total number of marbles}}=\frac{11}{16}\).

Answer:

\(\frac{11}{16}\)