Question

an urn contains 22 marbles consisting of 10 red marbles, 7 blue marbles, and 5 yellow marbles. what is the probability of randomly selecting a blue marble from the urn? some answers have been rounded to the nearest percentage. select one answer. 10 points a. 7% b. 22% c. 32% d. 50%

Explanation:

Step1: Recall probability formula

The probability $P$ of an event is given by $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$.

Step2: Identify favorable and total outcomes

The number of blue marbles (favorable outcomes) is $n_{blue}=7$, and the total number of marbles (total outcomes) is $n_{total}=22$.

Step3: Calculate the probability

$P=\frac{7}{22}\approx 0.3182$.

Step4: Convert to percentage

$0.3182\times100\% = 31.82\%\approx32\%$.

Answer:

C. 32%