Calculate ##P(C|A')## in the given probability problem

[chwala]

Homework Statement

See attached ( textbook question).

Relevant Equations

Understanding of conditional probability

My interest is on part $b$ only. We know that $A$ and $B$ are independent and not mutually exclusive events therefore,

$P(C)=0.7×0.6=0.42$

$P(C|A')=\dfrac{P(C)-P(A∩C)}{P(A')}=\dfrac{0.42-(0.3×0.42)}{0.7}=\dfrac{0.294}{0.7}=0.42$ which is wrong according to textbook solution.

Where is my mistake? cheers.

 

[scottdave]

Revisit what the value of Probability of "A intersect C" is.

Are A and C independent?

 

[chwala]

@scottdave wawawawawawa this was a nice one man! Phew. Seen it...