how to find P(B)

Question

how can i find P(B)

if ​ P(A or B)equals=0.7,

​P(A)equals=0.6

and​ P(A and B)equals=0.35​,

find​ P(B).

Answer 1

It is 0.45 = 45%

I used Venn Diagram

Prob(A) = Prob(A only) + Prob(A and B)

0.6 = x + 0.35

x = 0.25, so Prob( A only) = 0.25

Then Prob( B only) + Prob(A only) + Prob(A and B) = Prob (A or B)

x + 0.25 + 0.35 = 0.7

x + 0.6 = 0.7

x = 0.10 = 10%

Prob(B) = Prob(B only) + Prob( A and B) = 10% + 35% = 45%