1. Anju has a bag that contains 5 socks of which 2 are blue.

Anju randomly selects socks from the bag, one sock at a time. She does not replace any socks but continues to select socks at random until she has both blue socks. The discrete random variable \(S\) represents the total number of socks that Anju has selected.

1. Write down the value of \(\mathrm { P } ( S = 1 )\)
2. Find \(\mathrm { P } ( S > 2 )\)
3. Find \(\mathrm { P } ( S = 3 )\)
4. Given that the second sock selected is blue, find the probability that Anju selects exactly 3 socks.
5. Find \(\mathrm { P } ( S = 5 )\)