Question
Question: If the probability of A to fail in an examination is 0.2 and that for B is 0.3, then the probability...
If the probability of A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A or B fails in examination is
A
0.5
B
0.06
C
0.44
D
0.56
Answer
0.44
Explanation
Solution
Since A and B are independent event, therefore
P(A∩B) = P(1) P(2)
P(AUB) = P(1) + P(2) – P(A∩B)
= 0.2 + 0.3 – (0.2) (0.3)
= 0.44