Marissa is drawing coins from a bag that contains $5$ pennies, $4$ nickels, $5$ dimes, and $2$ quarters. .

1. What is the probability that she will draw a nickel?

   Hint (a):

   Remember, probability is the number of successful outcomes out of the total number of possible outcomes.
   How many nickels are in the bag?
   How many total coins are in the bag?

   Answer (a):

   $\frac{4}{16}= \frac{1}{4}$

2. If one penny, two dimes, and one quarter are added to the bag, what is the new probability that she will draw a nickel?

   Help (b):

   What is the new number of nickels?
   What is the new total number of coins?

3. In which situation is it more likely that she will draw a nickel?

   Hint (c):

   Compare the answer in (a) to the answer in (b).
   Which answer is greater?