The probability of rolling either a 2, a ,5 or a 3 The probability of rolling either a 6 or a 1

Question

A peculiar die has the following properties: on any roll the probability of rolling either a 6, a 1, or a 4 is 12, just as it is with an ordinary die. Moreover, the probability of rolling either a 4, a 5, or a 3 is again 12. However, the probability of rolling a 4 is 116, not 16 as one would expect of an ordinary fair die

Answer 1

Prob ( 1,6,4) =3/6 = 1/2

Prob( 4,5,3) = 3/6 = 1/2

Prob(4) = 1/6