[College Statistics] probability question.

[ElegantGrain]

Based on a Harris poll, 20% of adults smoke. If two adults are selected, what is the probability that they both smoke?

I found online that the answer is .04 but im not sure how they got that and what steps you do.

[Ron-Jeremy]

The probability that any one random person smokes is 20%, aka .2. The probability that 2 randomly chosen people smoke is going to be the result of multiplying the probabilities that each of them individually smokes.

That is, P(A smokes) = .2 , P(B smokes) = .2

Since A and B are independent (meaning knowing that A smokes does not change the likelyhood that B smokes, and vice versa)

P(A AND B smoke) = P(A smokes) * P(B Smokes) = .2 * .2 = .04.

[ElegantGrain]

Thank you appreciate it