Ohio Assessments for Educators (OAE) Early Childhood Practice Exam

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What is the probability of drawing a blue marble from a bag containing 2 blue, 3 green, and 3 red marbles?

  1. 1/8

  2. 1/4

  3. 1/3

  4. 1/2

The correct answer is: 1/4

To determine the probability of drawing a blue marble from the bag, it's essential to first understand the total number of marbles present. In this case, there are 2 blue marbles, 3 green marbles, and 3 red marbles, which means the total number of marbles is calculated as follows: Total marbles = 2 (blue) + 3 (green) + 3 (red) = 8 marbles. The probability is then expressed as a fraction, where the numerator is the number of favorable outcomes (in this case, the number of blue marbles) and the denominator is the total number of possible outcomes (the total number of marbles). Therefore, the probability of drawing a blue marble is given by: Probability of blue marble = Number of blue marbles / Total number of marbles = 2 / 8 = 1 / 4. This means that the chance of randomly selecting a blue marble from the bag is 1 in 4, which corresponds to the answer indicating that the probability is 1/4. Understanding the basics of probability and how to calculate it is key to solving such problems effectively. The process highlights the importance of determining both the favorable outcomes and the overall