Answer: 1/9
Step-by-step explanation:
The fraction 2/6 is the probability of getting a yellow marble because there are 2 yellow out of 3+1+2 = 6 total. The fraction 2/6 reduces to 1/3.
Once the marble selected is replaced, the bag will have the same exact number of each marble inside. Nothing has changed. Therefore, the probability of getting another yellow marble is also 1/3.
The probability of getting two yellow marbles in a row is (1/3)*(1/3) = 1/9
The fraction 1/9 is approximately equal to 0.111 which converts to 11.1%