The table alongside shows the number of balloons in a giant party pack
MATHEMATICS · Multi-part · A Level · Mathematics · Probability · Probability
Problem
The table alongside shows the number of balloons in a giant party pack.
*Red*
*Yellow*
*Blue*
*Large*
12
5
9
*Medium*
15
8
10
*Small*
24
11
6
(1) State the:
- total number of balloons in the pack
- number of medium balloons in the pack.
(2) One balloon is chosen at random from the pack. Find the probability that:
- the balloon is not yellow
- the balloon is either medium or small.
(3) Two balloons are selected at random from the pack. Find the probability that:
- both balloons are red
- neither of the balloons are large
- exactly one of the balloons is blue
- at least one of the balloons is blue.
(4) Three balloons are selected at random from the pack. Find the probability that:
- all three balloons are small and yellow
- exactly two balloons are medium and red.