The grade distribution for a course is listed in the following table. If a student is randomly selected from this class, what is the probability that they received an A or a B? (Enter answer as a decimal with at least 4 correct decimal places)

A

B

C

D

F

49

43

38

27

19

To find the probability that a randomly selected student received an A or a B, we need to divide the number of students who received either an A or a B by the total number of students in the class.

### Step 1: Total number of students
We can calculate the total number of students by summing all the grades:

\[
49 \, (A) + 43 \, (B) + 38 \, (C) + 27 \, (D) + 19 \, (F) = 176
\]

### Step 2: Students with A or B
The number of students who received an A or B is:

\[
49 \, (A) + 43 \, (B) = 92
\]

### Step 3: Probability calculation
The probability that a student received an A or B is the number of A or B students divided by the total number of students:

\[
P(A \text{ or } B) = \frac{92}{176} \approx 0.5227
\]

Thus, the probability that a randomly selected student received an A or B is approximately **0.5227**.

Would you like further details or have any questions?

Here are 5 related questions to think about:
1. What is the probability that a student received a grade lower than C?
2. What is the probability that a student received a grade of C or better?
3. How would the probability change if the number of A students increased by 10?
4. What is the probability that a randomly selected student received a grade of D or F?
5. How can this method be applied to different types of probability distributions?

**Tip:** Always ensure the total probability sums to 1 by checking that all grade categories are accounted for.

The grade distribution for a course is listed in the following table. If a student is randomly selected from this class, what is the probability that they received an A or a B? A: 49, B: 43, C: 38, D: 27, F: 19.

Find the probability that a randomly selected student received an A or B using a grade distribution table. The total number of students is 176, and the number of students who received an A or B is 92. This solution uses basic probability rules and is suitable for Grades 9-12.

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