Two factories
F1β and
F2β produce cricket bats that are labelled. Any randomly chosen bat produced by factory
F1β is defective with probability 0.5 and any randomly chosen bat produced by factory
F2β is defective with probability 0.1. One of the factories is chosen at random, and two bats are randomly purchased from the chosen factory. Let the labels on these purchased bats be
B1β and
B2β. If
B1β is found to be defective, then the conditional probability that
B2β is also defective is equal to __________ (round off to 2 decimal places).