In a recent election there were $1000$ eligible voters. They were asked to vote on two issues, $A$ and $B.$ The results were as follows: $150$ people voted for $A,$ $500$ people voted for $B,$ and $25$ people voted for $A$ and $B.$ If one person is chosen at random from the $1000$ eligible voters, find the following probabilities:

---

1. The person voted for $A,$ given that he voted for $B.$
Answer:

2. The person voted for $B,$ given that he voted for $A.$
Answer:

---