Pretty much every professional knows that arriving late to a meeting is disrespectful to the other attendees, is generally disruptive, and really shouldn't be tolerated. Alice and Bob are both unreliable and everyone knows it - well everyone except Alice and Bob who seem to be unaware of this.

In a typical meeting, there is only a 0.1 chance that both Alice and Bob will be on time; a 0.2 chance that Alice will come on time but Bob will not; a 0.3 chance that Bob will be on time but Alice will not; and a 0.4 chance they will both be late.

Given that Alice is late to a meeting, what is the probability that Bob will also be late?