To calculate the probability of randomly selecting a purple or yellow marker from the bag, we need to determine the total number of purple and yellow markers, as well as the total number of markers in the bag.
Total number of purple markers = 8
Total number of yellow markers = 6
Total number of markers in the bag = 3 (red) + 7 (orange) + 6 (yellow) + 4 (green) + 7 (blue) + 8 (purple) = 35
To find the probability, we divide the favorable outcomes (purple or yellow markers) by the total number of outcomes (total markers in the bag):
Probability = (Number of purple markers + Number of yellow markers) / Total number of markers
Probability = (8 + 6) / 35 = 14 / 35 = 2 / 5
Therefore, the probability of randomly selecting a purple or yellow marker from the bag is 2/5 or 0.4 (40%).