A jar contains 3 pennies, 4 nickels and 10 dimes. A child selects 2 coins at random without replacement from the jar. Let X represent the amount in cents of the selected coins. Be very precise with your answers. 

Find the probability X = 2 cents.  

Find the probability X = 6 cents.  

Find the probability X = 10 cents.  

Find the probability X = 11 cents.  

Find the probability X = 15 cents.  

Find the probability X = 20 cents.  

Find the expected value of X.