a and b are independent events . p(a) = 0.80 and p(b) = .10 what is p(a and b) ?

The probability of A and B is:

We know that when two events: Event A and event B are independent then if P denote the probability of an event then Probability A and B is equal to the product of probability of the individual events.

i.e.

Here we have:

P(A) = 0.80 and P(B) = 0.10

Hence,