SOLUTION: The probability that a first year student entering a certain private college needs neither a developmental math course nor a developmental English is 69% while 28% require a develo

Question 1168149: The probability that a first year student entering a certain private college needs neither a developmental math course nor a developmental English is 69% while 28% require a developmental math course and 21% require a developmental English course.
Find the probability that a first year student requires both a development math course and a developmental English course.
Answer by ikleyn(52812) (Show Source): You can put this solution on YOUR website!
.


From the condition,

    P(English OR Math) = 100% - 69% = 31%.



From the basic formula of the Elementary Probability theory

    P(English OR Math) = P(English) + P(Math) - P(English AND Math).



Substitute all known / given values into this formula

    31% = 21% + 28% - P(English AND Math).



From this equation, find P(English AND Math)

    P(English AND Math) = 21% + 28% - 31% = 18%.    ANSWER

Solved.

RELATED QUESTIONS
The probability that a first year student entering a certain private college needs... (answered by Boreal)

Of students entering a certain private college, 27% require a developmental math course... (answered by stanbon)

At a liberal arts college in the Midwest, 39% of freshman are enrolled in both a math... (answered by math_tutor2020)

Let S be the event that a randomly selected college student has taken a statistics... (answered by stanbon)

In a certain college 30% of the students failed math, 20% failed english, and 15% failed... (answered by stanbon)

Many colleges require students to take a placement exam to determine which math courses... (answered by greenestamps)

4. Thirty percent of students at a local college take statistics. Ninety percent of the... (answered by ewatrrr)

: In a college 25% of students have failed their Math 15% failed Chemistry and 10%... (answered by ikleyn)

A college has 64 students. 36 are sophomores, 39 mathematic majors and 6 are neither. A (answered by stanbon)