A bag has 7 red and 4 green sweets. Aimee randomly takes and eats two sweets, without replacement.

(a) Complete the tree probabilities. [3]

(b)(i) Find P(two red). [2]

(b)(ii) Find P(one of each colour). [3]

She takes and eats a third sweet.

(c)(i) Find P(three red). [2]

(c)(ii) Find P(at least one red among the three). [3]