Question

bonnie is one of 60 students enrolled in a political science course. each time the course meets, the professor randomly selects one student from those who are present to provide a summary of a current political news story. suppose that bonnie is present during a class session in which three of her peers are absent. what is the probability that bonnie will be randomly selected that day to summarize a news story? 0.0167 0.3333 0.0175 0.0500 0.0159

Explanation:

Step1: Calculate the number of present students

Total students = 60. Absent students = 3. So, present students \( n=60 - 3=57\)

Step2: Calculate the probability

Probability formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, number of favorable outcomes (Bonnie being selected) \(m = 1\), total number of outcomes \(n = 57\). So \(P=\frac{1}{57}\approx0.0175\)

Answer:

0.0175