Final answer:
The probability of drawing a card that is not the 7 of diamonds from a standard deck of 52 cards is 51/52. The calculation involves finding the complement of the event of drawing the 7 of diamonds, which has a probability of 1/52. The correct answer is Option B) 51/52.
Step-by-step explanation:
The student wants to know the probability of drawing a card from a standard deck of 52 cards that is not the 7 of diamonds. This type of problem is a classic example of determining the probability of a complementary event, which can be found by subtracting the probability of the event from 1. In a standard deck, there is only one 7 of diamonds. Therefore, the probability of drawing the 7 of diamonds is 1/52. To find the probability of not drawing the 7 of diamonds, we subtract this from 1:
P(not 7 of diamonds) = 1 - P(7 of diamonds) = 1 - 1/52 = 51/52.
The correct option is therefore B) 51/52. When choosing an option to answer the student's question, it is critical to carefully read and understand the problem to provide accurate help. In this case, by understanding the composition of a deck of cards and the concept of complementary events, we can confidently choose only one option that accurately represents the probability in question.