Final answer:
The probability of picking a 'D' from the letters in DEGREE is 1/6, while the probability of selecting a non-'E' letter is 1/2.
Step-by-step explanation:
The student's question involves finding the probability of certain outcomes when picking letter cards from the word DEGREE. Probability is a way of expressing knowledge or belief that an event will occur or has occurred. In this case, we are dealing with discrete random events and their corresponding probabilities when selecting cards at random.
Probability of picking a 'D': The letter 'D' appears once in the word DEGREE which has 6 letters in total. The probability of picking a 'D' is the number of D's divided by the total number of letters, which is 1/6. Probability of picking a letter that is not an 'E': The letter 'E' appears three times in DEGREE. Therefore, there are 6 - 3 = 3 letters that are not 'E's. The probability of selecting a non-'E' is the number of non-E's divided by the total number of letters, which is 3/6 or simplified to 1/2.