Question: In certain community the prevalence of hypertension (HT) among three groups (N-normal, P-prediabetic, D-diabetic) are reported in Table 1, while Table 2 presents cross-tabulation of gender and diabetic status for the same community.

a) One person is randomly selected from the community. Find probability that this person is female.

b) One person is randomly selected and it appears that this person is pre-diabetic and is not hypertensive. Find probability that this person is female.