SOLUTION: Joseph and Mikky are both studying for an exam. They feel that Joseph has a 55% chance of getting an A, and Mikky has a 35% chance. Suppose that there is a 15% chance that BOTH get

Algebra ->  Probability-and-statistics -> SOLUTION: Joseph and Mikky are both studying for an exam. They feel that Joseph has a 55% chance of getting an A, and Mikky has a 35% chance. Suppose that there is a 15% chance that BOTH get      Log On


   



Question 1011056: Joseph and Mikky are both studying for an exam. They feel that Joseph has a 55% chance of getting an A, and Mikky has a 35% chance. Suppose that there is a 15% chance that BOTH get an A. What is the chance that at least ONE of them will get an A?
Answer by Theo(13342) About Me  (Show Source):
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probability of A or B is equal to probability of A plus probability of B minus probability of A and B.

event A is Joseph gets an A.
event B is Mikky gets an A.

p(A) = .55
p(B) = .35
p(A and B) = .15

p(A or B) = p(A) + p(B) - p(A and B).

that becomes p(A or B) = .55 + .35 - .15 = .75

there is a 75% chance that either Joseph or Mikky gets an A or both get an A.