Question

In an AP statistics class, there are 30 students. 15 have long hair and15 have short hair. 3 students with long hair and 5 students withshort hair have As. What is the probability of choosing a studentwith long hair or an A student?

Answer 1

Here, we want to calculate the probability of choosing a student with long hair or an A student

From the question, the number of students with long hair is 15

The number of students having an A grade is 3 + 5 = 8 students

The probability of choosing a student with long hair is;

`\frac{no\text{ of students with long hair}}{\text{Total number of students}}\text{ = }(15)/(30)\text{ = }(1)/(2)`

The probability of choosing an A student is;

`\frac{no\text{ of students with A}}{\text{Total number of students}}\text{ = }(8)/(30)\text{ = }(4)/(15)`

Finally, the probability of choosing a studen