A bag has 2 green marbles, 3 red marbles, and 3 yellow marbles. What is the probabilty that you pick a yellow marble, do not replace it, and pick another yellow marble? 3/28 1/289/561/8

Answer:[tex]\frac{3}{28}[/tex]Step-by-step explanation:We will find probability of picking yellow in first try (denote as P(y1) )and then find probability of picking yellow in 2nd try ( denote as P(y2) )and then multiply both to get our answer.Total number of marbles = 2 + 3 + 3 = 8 marblesOf them, 3 are yellow, soP(y1) = 3/8Now, since WITHOUT replacement, we have taken a yellow, that means there are now 2 yellow and total will decrease by 1 as well, so total is 7, SoP(y2) = 2/7Now,P(y1 and y2) = 3/8 * 2/7 = 6/56 = 3/28The first one is the correct answer, [tex]\frac{3}{28}[/tex]