1) I have three 2 pence pieces and two 10 pence pieces in my pocket. I pick two coins out of my pocket at random. Find the probability that the first coin was a 2 pence piece given that the coins were both the same.

2) The event T is that the sum of the coins' values is 20 pence and the event S is that the coins are the same.

a)Find the probability of T given that the coins are the same.

b)State with a reason, whether or not events S and T are independent.

Thanks in advance :)