Statistics And Probability Question 551
Question: The probability that at least one of A and B occurs is 0.6. If A and B occur simultaneously with probability 0.3, then $ P({A}’)+P({B}’)= $
Options:
A) 0.9
B) 1.15
C) 1.1
D) 1.2
Show Answer
Answer:
Correct Answer: C
Solution:
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$ 1-P({A}'\cap {B}')=0.6, $ $ P(A\cap B)=0.3, $ then $ P({A}'\cup {B}')=P({A}')+P({B}')-P({A}'\cap {B}') $
Þ $ 1-P(A\cap B)=P({A}’)+P({B}’)-0.4 $
Þ $ P({A}’)+P({B}’)=0.7+0.4=1.1 $ .
BETA
