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).

0.12

0.46

0.16

0.22

Question

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).

0.12

 0.46

 0.16

 0.22

anonymous · Answer

i am math illiterate i would like to know how to solve these

anonymous · Answer

Basically i just want like a walkthrough on how to solve these

ganeshie8 · Answer

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anonymous · Answer

im actually gonna write this down brb i need copy paper.

ganeshie8 · Answer

we can use a direct formula :

P(A or B)  =  P(A) + P(B) - P(A and B)

anonymous · Answer

ok im with ya so far

ganeshie8 · Answer

` P(marinara) = 0.74, P(pesto) = 0.62, and P(marinara or pesto) = 0.90. Determine the P(marinara and pesto).`

 P(marinara or pesto) = P(marinara) + P(pesto) - P(marinara and pesto)

ganeshie8 · Answer

plugin the given values :

0.90 = 0.74 + 0.62 -  P(marinara and pesto)

ganeshie8 · Answer

P(marinara and pesto) =  0.74 + 0.62  - 0.90

simplify

anonymous · Answer

k hold on 1 sec.
ill simplify it

anonymous · Answer

.46?

anonymous · Answer

0.46 i mean

ganeshie8 · Answer

Excellent !

anonymous · Answer

thanks so much