2
$\begingroup$

Question: Let A and B be events on a probability space. Find the probability that A or B occurs but not both. Express your answer in terms of P(A), P(B), and $ P(A\cap B)$.

Soln:

$P(A\cap {B^c})+P({A^c}\cap B)$

$=P(A\cup B) - P(B) + P(A\cup B) - P(A)$

$=[P(A)+P(B)-P(A\cap B)-P(B)]+[P(A)+P(B)-P(A\cap B)-P(A)]$

$=P(A)+P(B)-2P(A\cap B)$

So did I get it right?

$\endgroup$
-1
$\begingroup$

Yes, it's right. You can draw a Venn's diagram to see it

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.