To determine the probability of randomly selecting a specific color crystal from the bag, we need to consider the total number of crystals and the number of crystals in each color category.
Total Crystals:
5 red crystals + 7 blue crystals + 2 yellow crystals = 14 crystals
Probability of Selecting a Red Crystal:
Number of red crystals / Total number of crystals = 5 red crystals / 14 crystals = 5/14
Probability of Selecting a Blue Crystal:
Number of blue crystals / Total number of crystals = 7 blue crystals / 14 crystals = 7/14
Probability of Selecting a Yellow Crystal:
Number of yellow crystals / Total number of crystals = 2 yellow crystals / 14 crystals = 1/7
Therefore, the probability of randomly selecting a red crystal is 5/14, the probability of selecting a blue crystal is 7/14, and the probability of selecting a yellow crystal is 1/7.