Final answer:
The probability of choosing a girl or someone who did not pass the EOCT in a coordinate algebra class is 21/32. The provided options do not match this result, indicating a possible typo in the question's options.
Step-by-step explanation:
The question asks us to find the probability that a randomly chosen student from a coordinate algebra class is either a girl or a person that did not pass the End of Course Test (EOCT). There are 22 males and 10 females in the class, with 11 males and 4 females passing the EOCT.
To solve this, let's identify the total number of students, the number of females, and the number of students who didn't pass the EOCT:
- Total students: 22 males + 10 females = 32 students.
- Number of females: 10 (since all females are either pass or fail, they are part of the 'girl or did not pass' group).
- Students who didn't pass: (22 - 11) males + (10 - 4) females = 11 males + 6 females = 17 students. However, since the females are already counted, we only add the males who didn't pass.
The probability that a person chosen at random is a girl or didn't pass is the number of girls (which includes those who didn't pass) plus the number of males who didn't pass, divided by the total number of students:
P(girl or didn't pass) = (Number of girls + Males who didn't pass) / Total number of students = (10 + 11) / 32 = 21 / 32
None of the options A) 4/32, B) 11/32, C) 15/32, D) 18/32 matches our calculation, suggesting that there may be a typo in the provided options.