A peculiar die has the following properties: on any roll theprobabilityof rolling either a1, a2, or a4is1/2, just as it is with an ordinary die. Moreover, the probability of rolling either a4, a5, or a3is again1/2. However, the probability of rolling a4is1/4, not1/6as one would expect of an ordinary fair die.

From what you know about this peculiar die, compute the following.

1. The probability of rolling either a1, a2, or a6
2. The probability of rolling neither a5nor a3