Mark (√) against the correct answer in each of the following:
The probabilities of A, B and C of solving a problem are ,
and
respectively. What is the probability that the problem is solved?
The probability that the problem is solved = P(AB
) = P(A)+P(B)+P(C)-P(A
B)-P(B
C)-P(C
A) + 3P(A
B
C)
Considering independent events, P(AB) =P(A).P(B),
P(BC) =P(B).P(C), P(C
A) =P(C).P(A),
P(AB
C) =P(A).P(B).P(C),
Thus, P(AB
) is,
⇒