Well iTute is standing with 0 < p < 1, and I'd kinda tend to agree with what they say.
If this is the p=0 question. I disagree with itute. Here's my case:
1) Bias = Show prejudice for or against (someone or something) unfairly (google source). Hence, the prob of one event may be diminished to = 0. The coin may have two tails for example, that's realistic (more realistic and do-able than 75% heads in any case).
2) p=0 satisfies the other parts of the question as does p=3/4.
3) Never does it say in the q that a head actually occurred, it only asked the "prob" of it occurring, inferring that it may not happen at all. (I may stand corrected on this point though, I don't have photographic memory).
Although, I did quite badly, so my answer isn't the be-all-and-end-all for this question. VCAA should accept both if they are logical.