you have 3 red sweaters 2 black sweaters. and 4 gray sweaters. you randomly pick one sweater, put it back, then randomly pick another. fin the probability that the first sweater chosen is red and the second is gray.

Answer 1

the two selections are independent events
... all the sweaters are available for selection

9 total sweaters

p(red) = 3 / 9

p(gray) = 4 / 9

the probability of red then gray is the product of the individual probabilities