Final answer:
To find the value of b, use the formula for the probability of the union of two events and substitute the given values to solve for P(B).
Step-by-step explanation:
To find the value of b, we can use the formula for the probability of the union of two events, which is given by P(A or B) = P(A) + P(B) - P(A and B). We are given that P(A or B) = 1/6, P(A) = 1/7, and P(A and B) = 1/8. Substituting these values into the formula, we get: 1/6 = 1/7 + P(B) - 1/8. Solving for P(B), we find that P(B) = 1/48. Therefore, b = 1/48.