Papa's Italian Restaurant has collected data about customer sauce orders. It calculated that P(marinara) = 0.74, P(pesto) = 0.62, and P(marinara or pesto) = 0.90. Determine the P(marinara and pesto).

Question

anonymous · Answer

0.12 

 0.46 

 0.16 

 0.22

ganeshie8 · Answer

use below :-

p(A or B) = P(A) + P(B) - P(A and B)

anonymous · Answer

that's the problem I don't know how to use that formula can you help me?

ganeshie8 · Answer

P(marinara or pesto) = P(marinara) + P(pesto) - P(marinara and pesto)

ganeshie8 · Answer

read the question and plugin given values above

anonymous · Answer

so 
p(.74 or .62)= p(.74)+p(.62)-p(.74 and .62)

ganeshie8 · Answer

NOPE

ganeshie8 · Answer

P(marinara or pesto) = P(marinara) + P(pesto) - P(marinara and pesto)


plugin given values :-

0.9 = 0.74 + 0.62 - P(marinara and pesto)

ganeshie8 · Answer

0.9 = 0.74 + 0.62 - P(marinara and pesto)

0.9 =  1.36 - P(marinara and pesto)

P(marinara and pesto) = 1.36 - 0.9
                                 =  ?

anonymous · Answer

.46

ganeshie8 · Answer

$\large \color{red}{\checkmark}$

anonymous · Answer

thank you so much

ganeshie8 · Answer

np :)