Bag Q contains 10 marbles of which 2 are red (R) and 8 are black (B). Bag S contains 12 marbles of which 4 are red (R), 2 are black (B) and 6 are green (G). A ball is drawn at random from bag Q and put into bag S. Then one ball drawn from bag S. Suppose R is a random variable of red ball was drawn from bag S.

1) Find the probability of P(R = 2). Give your answer in smallest fraction form.

2) Find the probability of P(R less than 2). Give your answer in smallest fraction form OR in 4 decimal places.

3) Find the probability of P(R = 3). Give your answer in smallest fraction form OR in 4 decimal places.

4) Find the probability of P(R at least 1). Give your answer in smallest fraction form OR in 4 decimal places.