Data Handling & Probabilty
Tree Diagrams
1. A bag contains 3 red and 5 blue sweets. One sweet is taken out at random. Draw a tree diagram to show the possible outcomes. Include the probabilities on the branches.
2. A bag contains 4 red and 6 blue sweets. One sweet is taken out and then put back. A second sweet is then removed. Draw a tree diagram showing the possible outcomes. What is the probability of choosing:
(a) two blue sweets? (b) exactly one red sweet?
3. A bag contains 1 red, 2 blue and 3 green sweets. Two sweets are removed without replacement. Draw a probability tree showing the possible outcomes. What is the probability of choosing:
(a) two sweets the same colour
(b) two different sweets
Answers
1.
2.
(a) 36/100 = 9/25 (b) 48/100 = 12/25
3.
(a) 8/30 = 4/15 (b) 22/30 = 11/15