Question

question 7
3 pts

in a high school graduating class of 473 students, 107 are on the honor roll. of the students who are on the honor roll, 69 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 going on to college?
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: Calculate the number of students going to college

The number of honor - roll students going to college is \(69\). The number of non - honor - roll students going to college is \(53\). So the total number of students going to college is \(69 + 53=122\).

Step2: Calculate the probability

The probability \(P\) of an event is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the total number of students is \(n = 473\), and the number of students going to college is \(m=122\). So \(P=\frac{122}{473}\approx0.2579\)

Answer:

\(0.2579\)