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14.Probability
easy
જો $A$ અને $B$ એ ઘટના છે,તો બંને માંથી કોઇ એકજ ઉદ્રભવે તેની સંભાવના મેળવો.
A
$P\,(A) + P\,(B) - P\,(A \cap B)$
B
$P\,(A) + P\,(B) - 2P\,(A \cap B)$
C
$P\,(A) + P\,(B) - P\,(A \cup B)$
D
$P\,(A) + P\,(B) - 2P\,(A \cup B)$
(IIT-1984)
Solution
(b)Required probability $ = A$ occurs and $B$ does not occur or $B$ occurs and $A$ does not occur
$ = P(A \cap \bar B) + P(\bar A \cap B)$
$ = P(A) – P(A \cap B) + P(B) – P(A \cap B)$
$ = P(A) + P(B) – 2P(A \cap B)$.
Standard 11
Mathematics
