National Police Officer Exam Prep

Category - Police Officer

In a bag of marbles, 1/2 are red, 1/4 are blue, 1/6 are green, and 1/12 are yellow. If a marble is taken from the bag without looking, it is most likely to be
  1. red
  2. blue
  3. green
  4. yellow
Explanation

Answer: A - Red.

The marble is most likely to be red, since half of the marbles in the bag are red. This means that there is a 50% chance of selecting a red marble.

To calculate the probability of selecting each color, we can divide the number of marbles of each color by the total number of marbles in the bag:

  • Probability of selecting a red marble: 1/2 (50%)
  • Probability of selecting a blue marble: 1/4 (25%)
  • Probability of selecting a green marble: 1/6 (16.67%)
  • Probability of selecting a yellow marble: 1/12 (8.33%)

Therefore, the red marble has the highest probability of being selected, followed by blue, green, and yellow in decreasing order of probability.  The key for this question is keeping calm and reading carefully.

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