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We are tasked with finding the probability that a randomly selected student is either female or received a grade of "B". We can use the formula for the probability of the union of two events, which is:

\[
P(A \text{ or } B) = P(A) + P(B) - P(A \text{ and } B)
\]

Where:
- \( P(\text{Female}) \) is the probability that a student is female.
- \( P(\text{B}) \) is the probability that a student got a "B".
- \( P(\text{Female and B}) \) is the probability that a student is both female and got a "B".

From the table:
- Total number of students = 58.
- Number of female students = 35.
- Number of students who got a "B" = 18.
- Number of female students who got a "B" = 16.

Now, we calculate each probability:

\[
P(\text{Female}) = \frac{35}{58}
\]
\[
P(\text{B}) = \frac{18}{58}
\]
\[
P(\text{Female and B}) = \frac{16}{58}
\]

Now, using the formula:

\[
P(\text{Female or B}) = P(\text{Female}) + P(\text{B}) - P(\text{Female and B})
\]
\[
P(\text{Female or B}) = \frac{35}{58} + \frac{18}{58} - \frac{16}{58}
\]
\[
P(\text{Female or B}) = \frac{37}{58}
\]

Thus, the probability that a randomly selected student is either female or got a "B" is \( \frac{37}{58} \), or approximately 0.6379 (63.79%).

Let me know if you want further details or explanations.

Here are five related questions:
1. What is the probability that a student is male or got a "C"?
2. What is the probability that a student is female and got a "C"?
3. What is the probability that a student got an "A" or a "B"?
4. How would the probability change if there were more students who got a "B"?
5. What is the probability of selecting a male student who got an "A"?

**Tip:** When calculating the probability of combined events, be sure to subtract the intersection to avoid double counting.

Find the probability that the student was female OR got a 'B'.

Learn how to find the probability that a randomly selected student is either female or received a 'B' grade in a test. This problem involves key probability concepts and formulas for calculating the union of events. Suitable for students in Grades 9-12.

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