4. A bag contains 4 yellow marbles and 6 green marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a second marble is drawn. What is the probability that the first marble is green and the second one is yellow?
*
1 point
4/15
3/2
1/15
1/6
1/15
Explanation:
There are a total of 10 marbles in the bag. The probability of drawing a green marble initially is 6/10 or 3/5. Since the first marble is not replaced, there will then be 9 marbles in the bag for the second draw, with 4 of them being yellow. Therefore, the probability of drawing a yellow marble on the second draw is 4/9. To find the overall probability, multiply the probabilities of the individual events: (3/5) * (4/9) = 12/45 = 4/15.