QUESTION IMAGE
Question
giving a test to a group of students, the grades and gender are summarized below
| a | b | c | total | |
|---|---|---|---|---|
| female | 5 | 10 | 13 | 28 |
| total | 8 | 12 | 20 | 40 |
if one student is chosen at random,
find the probability that the student was male and got a \a\.
Step1: Identify relevant values
The number of male students who got an 'A' is 3, and the total number of students is 40.
Step2: Calculate probability
The probability formula for an event is $P(E)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the probability $P$ that a student is male and got an 'A' is $P=\frac{3}{40}$.
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$\frac{3}{40}$