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. 7% 22% 32% 50%
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. 7% 22% 32% 50%
Solution
The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes.
In this case, the favorable outcome is selecting a blue marble, and there are 7 blue marbles. The total number of outcomes is the total number of marbles, which is 22.
So, the probability (P) of selecting a blue marble is calculated as follows:
P(blue marble) = Number of blue marbles / Total number of marbles P(blue marble) = 7 / 22
To convert this to a percentage, multiply by 100.
P(blue marble) = (7 / 22) * 100 = 31.82%
Rounding to the nearest percentage, the probability is approximately 32%. So, the correct answer is 32%.
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