A bag contains 2 red marbles, 4 blue marbles, and 8 green marbles. What is the probability of choosing a blue marble?
4/(2+4+8) = 4/14 = 2/7
To find the probability of choosing a blue marble, we need to compare the number of favorable outcomes (choosing a blue marble) to the total number of possible outcomes (all the marbles in the bag).
In this case, the number of favorable outcomes is 4 (since there are 4 blue marbles in the bag). The total number of possible outcomes is the sum of all the marbles in the bag, which is 2 + 4 + 8 = 14.
So, the probability of choosing a blue marble can be calculated as:
Number of favorable outcomes / Total number of possible outcomes = 4 / 14
Simplifying this fraction gives:
Probability = 2 / 7 or approximately 0.2857 (rounded to four decimal places)
Therefore, the probability of choosing a blue marble from the bag is approximately 0.2857 or 28.57%.