Could someone tell me how to do this? It's the fourth question from the June 2011 pastpaper.
"In a game, players select sticks at random from a box containing a large number of sticks
of different lengths. The length, in cm, of a randomly chosen stick has a continuous
uniform distribution over the interval [7, 10].
A stick is selected at random from the box.
(a) Find the probability that the stick is shorter than 9.5 cm.
To win a bag of sweets, a player must select 3 sticks and wins if the length of the longest
stick is more than 9.5 cm.
(b) Find the probability of winning a bag of sweets."
Part (a) is fine but how would you find part (b)?