When a person needs a minicab, it is hired from one of the three firms: X, Y and Z. Of the hirings, 40% are from X, 50% are from y and 10% are from Z. For cabs hired from X, 9% arrive late. The corresponding percentages for cab hired from firms Y and Z being 6% and 20% respectively.

Question

Given that a call is made for a minicab and that it arrives late, find the probability that it came from Y

Answer 1

(6 * 50) / [(9 * 40) + (6 * 50) + (10 * 20)]