Question

At a large high school, the favorite colleges for students to go on to are Floral College, Expanding University, Disco Tech, and Reform Institute. Of the students who go to one of these, 40% go to Floral, 25% to Expanding, 20% to Disco, and 15% to reform. According to the records of those colleges, 75% of Floral entrants graduate, 60% of Expanding entrants graduate, 80% of Disco entrants graduate, and only 40% of Reform entrants graduate.
a)A student from this high school will be going to one of these favorite colleges, but you do not know which one. What is the probability that student will graduate from the college chosen?
b)A few years later in a Bigbucks coffee shop you meet a student from this high school who entered one of the favorite colleges. She tells you she dropped out. What is the probability she went to Expanding University?

Answer 1

a) The probability that student will graduate from the college chosen is 75%

b) The probability she went to Expanding University is 80%

The term probability refers the possibility of happening the particular event.

Here we have given that a large high school, the favorite colleges for students to go on to are Floral College, Expanding University, Disco Tech, and Reform Institute. Of the students who go to one of these, 40% go to Floral, 25% to Expanding, 20% to Disco, and 15% to reform. According to the records of those colleges, 75% of Floral entrants graduate, 60% of Expanding entrants graduate, 80% of Disco entrants graduate, and only 40% of Reform entrants graduate.

And we need to find the following.

a) The probability that student will graduate from the college chosen

Through the given question, we have identified the values as, the only college in the given list is Floral College that has the graduation percentage as 75%.

b) The probability she went to Expanding University,

Here we have identified that the probability given for Expanding university is 80%, so, the probability for she went to that particular 80%

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