Here's the population:

A - 224,000,000 (72.5%)

B - 39,000,000 (12.6%)

C - 46,000,000 (14.9%)

TOTAL population - 309,000,000

In that population, members have a certain attribute X, as follows:

A - 232,000 (59.5%)

B - 147,000 (37.7%)

C - 11,000 ( 2.8%)

TOTAL with attribute X - 390,000

**Questions**

1. Since B having attribute X is disproportionately overrepresented compared to their representation in the total population, is it correct that one should expect a randomly selected member B to be more likely to have that attribute than member A?

2. What is the probability that a member of the population is both A and has the attribute X?

3. What is the probability that a member of the population is both B and has the attribute X?

4. If one randomly selected member of the population is A, what is the probability that member has attribute X?

5. If one randomly selected member of the population is B, what is the probability that member has attribute X?

6. If two members of the population are randomly selected, one A and one B, what is the probability that member A has attribute X?

6. If two members of the population are randomly selected, one A and one B, what is the probability that member B has attribute X?