two events, a and b are independent of each other. p(a) = 1/6 and p(a and b) = 1/8. what is p(b) written as…

Explanation:

Step1: Recall the formula for independent events

For independent events (A) and (B), (P(A\cap B)=P(A)\times P(B)).

Step2: Substitute the given values

We know that (P(A)=\frac{1}{6}) and (P(A\cap B)=\frac{1}{8}). Let (P(B) = x). Then (\frac{1}{8}=\frac{1}{6}\times x).

Step3: Solve for (P(B))

To solve for (x), we can use the equation (x=\frac{\frac{1}{8}}{\frac{1}{6}}). By the rule of dividing fractions ((\frac{a}{b}\div\frac{c}{d}=\frac{a}{b}\times\frac{d}{c})), we have (x = \frac{1}{8}\times\frac{6}{1}=\frac{6}{8}=\frac{3}{4}= 0.75).

Answer:

D. 0.75