Question

Mama's Italian Restaurant has collected data about customer sauce orders. It calculated that P(marinara) = 0.82, P(alfredo) = 0.76, and P(marinara or alfredo) = 0.96. Determine the P(marinara and alfredo).
0.06
0.14
0.20
0.62

Answer 1

Denote by m for marinara and by a for alfredo and recall the following law:
$P(M\cup A)=P(M)+P(A)-P(M\cap A)$
Therefore 
$P(M\cap A)=P(M)+P(A)-P(M\cup A)\\ 0.82+0.76-0.96\\ =0.62$
The correct answer is the last one.