GCEFurther MathematicsProbability and Statistics2024

The probabilities that Ade and Bisi will pass an examination are 2/3 and 3/4 respectively. Find the probability that only one of them passes the examination.

A5/12CORRECT
B1/2
C1/4
D1/6
AI
Toaster Teacher
Why the answer is A, and why the others tempt you.
P(only Ade passes) = (2/3)(1/4) = 2/12. P(only Bisi passes) = (1/3)(3/4) = 3/12. P(exactly one passes) = 2/12 + 3/12 = 5/12. A common error is computing P(both pass) = 1/2 or ignoring the complementary probabilities.
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