Question

test 2
score: 9/10 answered: 9/10
question 10
giving a test to a group of students, the grades and gender are summarized below
if one student is chosen at random,
find the probability that the student was male or got an \a\.
question help: video
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Explanation:

Step1: Recall the formula for \(P(A\cup B)\)

The formula for the probability of the union of two events \(A\) and \(B\) is \(P(A\cup B)=P(A)+P(B)-P(A\cap B)\). Let \(M\) be the event that the student is male and \(A\) be the event that the student got an "A".

Step2: Calculate \(P(M)\), \(P(A)\) and \(P(M\cap A)\)

• \(P(M)=\frac{\text{Number of male students}}{\text{Total number of students}}=\frac{39}{67}\)
• \(P(A)=\frac{\text{Number of students who got an "A"}}{\text{Total number of students}}=\frac{30}{67}\)
• \(P(M\cap A)=\frac{\text{Number of male students who got an "A"}}{\text{Total number of students}}=\frac{17}{67}\)

Step3: Substitute into the formula

$$
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$$

Answer:

\(\frac{52}{67}\)