We are asked to find the probability that a randomly chosen student did not earn a grade of C. To do this, we'll first find the number of students who did not earn a C and then divide it by the total number of students.

Step 1: Total number of students

The total number of students is given as:

$\text{Total students} = 54$

Step 2: Total number of students who earned a C

From the table, the number of students who earned a C is 29.

Step 3: Total number of students who did not earn a C

This can be found by subtracting the number of students who earned a C from the total number of students:

$\text{Students who did not earn a C} = \text{Total students} - \text{Students who earned a C}$ $\text{Students who did not earn a C} = 54 - 29 = 25$

Step 4: Probability calculation

The probability that a randomly chosen student did not earn a C is the ratio of students who did not earn a C to the total number of students:

$P(\text{not C}) = \frac{25}{54}$

Now, we calculate and round to four decimal places:

$P(\text{not C}) = 0.462963$

Rounded to four decimal places:

$P(\text{not C}) \approx 0.4630$

Thus, the probability that a student did not earn a C is approximately 0.4630.

Would you like more details or have any questions?

Here are 5 related questions for further exploration:

1. What is the probability that a randomly chosen male student earned a grade of B?
2. What is the probability that a female student earned a grade of A?
3. If two students are randomly chosen, what is the probability that both earned a grade of C?
4. What is the probability that a randomly chosen student is male and earned a grade of B?
5. What is the probability that a randomly chosen student is female and did not earn a C?

Tip: When dealing with probability problems, always carefully examine the total possible outcomes before calculating probabilities.