Question

in a high school graduating class of 358 students, 182 are on the honor roll. of the students who are on the honor roll, 63 are going on to college, and of the other students, 53 are going on to college. a student is selected at random from the graduating class. what is the probability that the chosen student is on the honor roll? note: for any final answer that has up to four decimal places, enter your answer without rounding the number. for any answers with more than four decimal values, round your final answer to four decimal places.

Explanation:

Step1: Identify the formula for probability

The formula for probability is \(P(A)=\frac{n(A)}{n(S)}\), where \(n(A)\) is the number of favorable outcomes and \(n(S)\) is the total number of outcomes.

Step2: Determine the values of \(n(A)\) and \(n(S)\)

Here, \(n(A)\) (number of students on the honor roll) is \(182\), and \(n(S)\) (total number of students in the graduating class) is \(358\).

Step3: Calculate the probability

Substitute the values into the formula: \(P = \frac{182}{358}\approx0.5084\)

Answer:

\(0.5084\)