SOLUTION: A student is taking two courses, history and math. The probability the student will pass the history course is 0.60, and the probability of passing the math course is 0.70. The pro

Algebra ->  Probability-and-statistics -> SOLUTION: A student is taking two courses, history and math. The probability the student will pass the history course is 0.60, and the probability of passing the math course is 0.70. The pro      Log On


   

Question 563753: A student is taking two courses, history and math. The probability the student will pass the history course is 0.60, and the probability of passing the math course is 0.70. The probability of passing both is 0.50.
What is the probability of passing at least one?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A student is taking two courses, history and math. The probability the student will pass the history course is 0.60, and the probability of passing the math course is 0.70. The probability of passing both is 0.50.
What is the probability of passing at least one?
-------------------------
P(passing at least one)
= 1 - P(none pass)
= 1 - 0.40*0.30
= 0.88
========================================
Cheers,
Stan H.
==============