Question

a. A bag contains 3 black marbles, 6 blue marbles, and 4 green marbles. If a marble is drawn from the bag, replaced, and another marble is drawn, what is the probability of drawing first a black marble and then a green marble? Round to 4 decimal places
  

b. A bag contains 6 yellow marbles, 4 green marbles, and 3 blue marbles. If two different marbles are drawn from the bag , what is the probability of drawing first a yellow marble and then a blue marble? Round to 4 decimal places

Answer 1

a) Total number of marbles = 3 + 6 + 4 = 13

Hence,

P(Drawing first a black marble and then a green marble)

= (3/13) * (4/13)

= 0.0710

b) Total number of marbles = 6 + 4 + 3 = 13

Hence,

P(Drawing first a yellow marble and then a blue marble)

= (6/13) * (3/12)

= 0.1154