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question 10 3 pts in a high school graduating class of 298 students, 13…

Question

question 10 3 pts in a high school graduating class of 298 students, 134 are on the honor roll. of the students who are on the honor roll, 67 are going on to college, and of the other students, 40 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 total students going to college

Students on honor roll going to college: \(67\)
Students not on honor roll going to college: \(40\)
Total going to college \(=67 + 40=107\)

Step2: Calculate probability

Total students \(n = 298\)
Probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{107}{298}\approx0.3591\)

Answer:

\(0.3591\)