Answer:
[tex]P(B) = \frac{7}{8}[/tex]
Step-by-step explanation:
Given
P(A or B)= P(B)-P(A and B)
P(A)=1/3
P(A and B)=1/8
P(A or B)= 3/4
Required
Find P(B)
To find P(B), all we need to do is to substitute values of P(A or B) and P(A and B) in the given equation.
This goes thus;
P(A or B) = P(B) - P(A and B) becomes
[tex]\frac{3}{4} = P(B) - \frac{1}{8}[/tex]
Make P(B) the subject of formula
[tex]P(B) = \frac{3}{4} + \frac{1}{8}[/tex]
Take L.C.M
[tex]P(B) = \frac{6 + 1}{8}[/tex]
Add fractions
[tex]P(B) = \frac{7}{8}[/tex]
From the workings above, the value of P(B) using the given equation is [tex]\frac{7}{8}[/tex]
