SOLUTION: The probability that event A will occur is 40%, while the probability that event B will occur is 60%. What is the probability that event A or event B will occur, if the events a

Algebra ->  Probability-and-statistics -> SOLUTION: The probability that event A will occur is 40%, while the probability that event B will occur is 60%. What is the probability that event A or event B will occur, if the events a      Log On


   

Question 481091: The probability that event A will occur is 40%, while the probability that event B will occur is 60%.
What is the probability that event A or event B will occur, if the events are indendent?
a. 20%
b. 24%
c. 76%
d. 100%
Thank you .
Found 2 solutions by stanbon, robertb:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The probability that event A will occur is 40%, while the probability that event B will occur is 60%.
What is the probability that event A or event B will occur, if the events are indendent?
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If the events are independent P(A and B) = P(A)*P(B) = 0.4*0.6 = 0.24
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Cheers,
Stan H.
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a. 20%
b. 24%
c. 76%
d. 100%

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
P(A or B) = P(A) + P(B) - P(A and B)
= P(A) + P(B) - P(A)*P(B) = 0.40 + 0.60 - 0.40*0.60 = 0.76
c. 76%