Binomial Probability Problem (Not even sure?)

Question

I can't wrap my head around this probability problem. I think I have to use the Binomial Theorem to solve this problem, but I can't figure out how, now that I am not given n or p. The problem states:

A large group of 16 to 24-year-olds were asked if they had consumed alcohol within the last year. Of the people asked 43.1% were men and 56.9% were women. 8.1% of the asked men answered that they had not consumed alcohol within the last year and 10.2% women answered that they had not consumed alcohol within the last year.

Question 1: Compute the probability that a randomly selected 16 to 24-year-old has not consumed alcohol within the last year.

If any of you guys might have a hint of what to do it would be much appreciated.

Answer 1

Hint: Use the Law of Total Probability

$$\mathsf P(A)=\mathsf P(A\mid B)\mathsf P(B)+\mathsf P(A\mid B^\complement)\mathsf P(B^\complement)$$

Answer 2

Hint: Suppose you were not given the percentages of men and women asked, but can assume the relevant population contains 50% men and 50% women.

I'm assuming here that the large group is just a sample, not the total population of interest.