SOLUTION: [Help in finding P(EUF), please] E & F are independent events such that P(E) = .3 and P(F) = .8. Find P(EUF). Thank you in advance, Diane

Algebra ->  Probability-and-statistics -> SOLUTION: [Help in finding P(EUF), please] E & F are independent events such that P(E) = .3 and P(F) = .8. Find P(EUF). Thank you in advance, Diane      Log On


   

Question 613347: [Help in finding P(EUF), please]
E & F are independent events such that P(E) = .3 and P(F) = .8. Find P(EUF).
Thank you in advance,
Diane
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
P(E U F) = P(E) + P(F) - P(E intersect F)

P(E U F) = P(E) + P(F) - P(E)*P(F) **** See note below ****

P(E U F) = 0.3 + 0.8 - 0.3*0.8

P(E U F) = 0.3 + 0.8 - 0.24

P(E U F) = 1.1 - 0.24

P(E U F) = 0.86


**** Note : Since "E & F are independent events", we can say P(E intersect F) = P(E)*P(F) ****