Last semester, a certain professor gave 24 As out of 237 grades. If one of the professor's students from last semester were selected randomly, what is the probability that student received an A? (Assume that each student receives one grade.)
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All students have equal probabilities of being picked (random).
Number of possible successes (picking an A-student) = 24
Size of Ω (sample space)=237
Probability of success = 24/237, a little more than 10%.
To calculate the probability of a student receiving an A, we need to know the total number of students who received grades from the professor. In this case, we are given that there were 237 grades given out.
Next, we need to determine the number of students who received an A. According to the information given, the professor gave out 24 As.
To calculate the probability, we divide the number of students who received an A by the total number of students who received grades.
Probability = Number of students who received an A / Total number of students who received grades
Probability = 24 / 237
Therefore, the probability that a randomly selected student from last semester received an A is approximately 0.1013, or 10.13%.