14.Probability
medium

$A$ અને $B$ ઘટનાઓ પૈકી ઓછામાં ઓછી એક ઘટના બને તેની સંભાવના $0.6$ છે.જો $A$ અને $B$ ઘટનાઓ એકસાથે બંને તેની સંભાવના $0.2$ હોય,તો $P\,(\bar A) + P\,(\bar B) = $   

A

$0.4$

B

$0.8$

C

$1.2$

D

$1.4$

(IIT-1987)

Solution

(c) We are given that $P(A \cup B) = 0.6$ and $P(A \cap B) = 0.2$.

We know that if $A$ and $B$ are any two events, then

$P(A \cup B) = P(A) + P(B) – P(A \cap B)$

$0.6 = 1 – P(\bar A) + 1 – P(\bar B) – 0.2$

$ \Rightarrow P(\bar A) + P(\bar B) = 2 – 0.8 = 1.2$.

Standard 11
Mathematics

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