SOLUTION: At a scientific congress, 85% of participants speak english (A), 35% speak french (F) and 25% speak both of these languages. If we randomly chose a congressman, what would be the p

Algebra.Com
Question 1152534: At a scientific congress, 85% of participants speak english (A), 35% speak french (F) and 25% speak both of these languages. If we randomly chose a congressman, what would be the probability of him being able to speak English or French?
Answer by ikleyn(52780)   (Show Source): You can put this solution on YOUR website!
.

Use the general formula of the probability theory


    P(A U B) = P(A) + P(B) - P(A and B).


In your case it takes the form


    P(English or French) = P(English) + P(French) - P(English and French) = 0.85 + 0.35 - 0.25 = 0.95 = 95%    ANSWER

Solved, answered, explained and completed.



RELATED QUESTIONS

There are 25 students in a class. Of these, 14 speak Spanish, 12 speak French, 6 speak... (answered by Theo)
In a committee of 30 members, 20 speak English and 15 speak French. If 8 speak both... (answered by mananth)
(ii) In a group of 50 people, 35 speak Hindi, 25 speak both English and Hindi and all... (answered by richwmiller)
There are 29 people in a room. Of these, 11 speak French, 24 speak English and 3 speak... (answered by richwmiller)
There are 29 people in a room. Of these, 11 speak French, 24 speak English, and 3 speak... (answered by solver91311)
There are 29 people in a room. Of these, 11 speak French, 24 speak English and 3 speak... (answered by ewatrrr)
A group of eleven people can speak either English or French or both. Seven can speak... (answered by Edwin McCravy)
of 30 students in a class, 25 speak french and 20 speak english. each student speaks... (answered by ewatrrr)
In a family of five, members speak English, Spanish, or both. Two people speak Spanish,... (answered by Jk22)