The 4-year graduation rate at Hinsdale Central is 91%. 93% of those students will then enroll in postsecondary education at colleges or universities. Out of those students, 75% will join the workforce after college graduation, 18% will advance to get their Master's degree and 7% will move home and live in their parents' basement. What is the probability that you, as a Hinsdale Central student, will go on to earn a master's degree? You may enter a calculation that leads to your answer
Question
The 4-year graduation rate at Hinsdale Central is 91%. 93% of those students will then enroll in postsecondary education at colleges or universities. Out of those students, 75% will join the workforce after college graduation, 18% will advance to get their Master's degree and 7% will move home and live in their parents' basement. What is the probability that you, as a Hinsdale Central student, will go on to earn a master's degree?
You may enter a calculation that leads to your answer
Solution
To calculate the probability, we need to multiply the probabilities of each step:
- The probability of graduating from Hinsdale Central in 4 years is 91% or 0.91.
- The probability of enrolling in postsecondary education at colleges or universities after graduating from Hinsdale Central is 93% or 0.93.
- The probability of advancing to get a Master's degree after enrolling in postsecondary education is 18% or 0.18.
So, the overall probability is 0.91 (graduating from Hinsdale Central) * 0.93 (enrolling in postsecondary education) * 0.18 (advancing to get a Master's degree) = 0.152034 or 15.2034%.
Therefore, as a Hinsdale Central student, the probability that you will go on to earn a master's degree is approximately 15.2034%.
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