Final answer:
The probability that Edward will not pick an orange Skittle is 134/150, when the number of each colored Skittles is given and totaled against the overall amount in the bag.
Step-by-step explanation:
The probability that Edward will NOT pick an orange Skittle is the complement of the probability of picking an orange one. If there are 150 Skittles in total and we subtract the number of non-orange Skittles (22 red, 38 yellow, 20 green, 28 purple, and 26 blue), we can find the number of orange Skittles and then calculate the probability.
Adding up the numbers of red, yellow, green, purple, and blue Skittles, we get 22 + 38 + 20 + 28 + 26 = 134. This means there are 150 - 134 = 16 orange Skittles.
The probability of picking an orange Skittle is the number of orange Skittles (16) divided by the total number of Skittles (150), which is 16/150. To find the probability of not picking an orange Skittle, we subtract this value from 1 (the total probability) to get 1 - (16/150).
When we reduce the fraction 1 - (16/150), we get 134/150 or 0.893 (when expressed as a decimal). So, the correct answer is 134/150, which is not one of the options provided in the student's list but is the accurate calculation based on the given scenario.