- 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.
- 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 .
- Find the probability of winning a bag of sweets.
To win a soft toy, a player must select 6 sticks and wins the toy if more than four of the sticks are shorter than 7.6 cm .
- Find the probability of winning a soft toy.