2. Given that P(A) = 7 OVER 12 and P(B) = 5 OVER 8 and P(A U B) = 1 OVER 4, determine P (A n B)

Question

Really need answers to all these questions from the textbook from homework, i have no idea how to answer any of them and i would like step by step with answer as i have test coming up.

Answer 1

we have the rule of addiction

P(AuB) = P(A)+P(B)-P(AnB)

Solve for P(AnB)

P(AnB)=P(A)+P(B)-P(AuB)

          = 7/12 +5/8- 1/4

          = 23/24