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# Probabilitytree

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### Probabilitytree

1. 1. Probability Aim: To be able to recognise, interpret and use probability tree diagrams. Keywords: Random, Bias, Replaced, Without replacing
2. 2. H H H T T T A tree diagram may be used to show all possible outcomes.
3. 3. H H H T T T Outcomes/possibilities H H H T T H T T How many outcomes are there?
4. 4. Fill in the empty boxes.
5. 5. Fill in the empty boxes.
6. 6. Q : A bag contains 3 red and 2 blue beads. A bead is chosen at random, its colour noted and then put back. A second bead is then taken from the bag. Draw a tree diagram to show this situation and list all the possible outcomes.
7. 7. A bag contains 4 red balls and 3 green balls. A ball is taken from the bag at random and then put back. A second ball is then taken. Draw a tree diagram and use it to show all the possible outcomes. <ul><li>What is the probability that both balls are red? </li></ul><ul><li>What is the probability that both balls are green? </li></ul><ul><li>What is the probability that one of the balls is green? </li></ul>
8. 8. Q : A bag contains 3 red and 2 blue beads. A bead is chosen at random and not replaced . A second bead is then taken from the bag. Draw a tree diagram to show this situation and list all the possible outcomes.