Probability 2 Question 6

6. The probability that at least one of the events A and B occurs is 0.6 . If A and B occur simultaneously with probability 0.2 , then P(A¯)+P(B¯) is equal to (1987,2M)

(a) 0.4

(b) 0.8

(c) 1.2

(d) 1.4

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Answer:

Correct Answer: 6. (a,c)

Solution:

  1. Given, P(AB)=0.6,P(AB)=0.2

P(A¯)+P(B¯)=[1P(A)]+[1P(B)]=2[P(A)+P(B)]=2[P(AB)+P(AB)]=2[0.6+0.2]=1.2



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