SOLUTION: In a college 30% students fail in Physics, 25% fail in Mathematics and 10% students fail in both. One student is chosen at random. What is the probability that
a) He fails in Math
Algebra.Com
Question 235847: In a college 30% students fail in Physics, 25% fail in Mathematics and 10% students fail in both. One student is chosen at random. What is the probability that
a) He fails in Mathematics if he has failed in Physics
b) He fails in Physics if he has failed in Mathematics.
c) He fails in Physics or Mathematics.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a college 30% students fail in Physics, 25% fail in Mathematics and 10% students fail in both. One student is chosen at random. What is the probability that
a) He fails in Mathematics if he has failed in Physics
P(m|p) = P(m and p)/P(p) = 0.10/0.30 = 1/3
---------------------------------------------------
b) He fails in Physics if he has failed in Mathematics.
P(p|m) = P(p and m)/P(m) = 0.10/0.25 = 10/25 = 2/5
---------------------------------------------------
c) He fails in Physics or Mathematics.
P(p or m) = P(p) + P(m) - P(p and m)
= 0.30 + 0.25 - 0.10 = 0.45
=========================================
Cheers,
Stan H.
RELATED QUESTIONS
In a school, if 14% students fail, and pass student is 559...then find the no. of fail... (answered by ankor@dixie-net.com)
in one college the second year mathematics students in mathematics have a 50% chance of... (answered by Boreal)
In class of 25 students 3 students failed.
What is the probability that student will... (answered by jim_thompson5910)
Many students entering unversity take a math course, 1J03.
In this course, 11% of the... (answered by ewatrrr)
In a class of 30 students, 6 students fail an exam. What percent of the students did not... (answered by Cromlix)
Many students entering unversity take a math course, 1J03.
In this course, 9% of the... (answered by edjones)
Research finds that of the students entering a degree program, 90% will successfully... (answered by ikleyn)
In a certain college, 40% of the senior class students is taking Physics, 30% is taking... (answered by josmiceli)
In a class of 100 students, it is known that 45 study mathematics, 26 study chemistry and (answered by richwmiller)