A crate of soft drinks contains 10 bottles of Coca-cola, 8 of Fanta and 6 of sprite. If one bottle is selected at random, what is the probability that it is NOT a Cocacola bottle?
The correct answer is D. \(\frac{7}{12}\)
To find the probability that a randomly selected bottle is NOT a Coca-cola bottle, we need to calculate the ratio of the number of bottles that are not Coca-cola to the total number of bottles.
Total number of bottles = 10 (Coca-cola) + 8 (Fanta) + 6 (Sprite) = 24 bottles
Number of bottles that are not Coca-cola = 8 (Fanta) + 6 (Sprite) = 14 bottles
Probability = \(\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}\)
Probability = \(\frac{\text{Number of bottles that are not Coca-cola}}{\text{Total number of bottles}}\) = \(\frac{14}{24}\)
Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (2):
Probability = \(\frac{7}{12}\)
So, the probability that a randomly selected bottle is NOT a Coca-cola bottle is \(\frac{7}{12}\).
Previous question Next question