Grade 12 Tree Diagrams Worksheet
This worksheet will help Grade 12 students practice constructing and interpreting tree diagrams for probability problems.
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Grade 12 Tree Diagrams Worksheet
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Read each question carefully and follow the instructions. Show all your work when constructing tree diagrams and calculating probabilities.
1. A fair coin is tossed, and then a fair six-sided die is rolled. a) Draw a tree diagram to represent all possible outcomes. b) What is the probability of getting a Head and an even number?
2. In a certain town, 40% of the population reads newspaper A, and 25% reads newspaper B. Of those who read newspaper A, 60% also read newspaper B. a) The probability that a randomly selected person reads both newspaper A and newspaper B is . b) The probability that a randomly selected person reads newspaper B given that they read newspaper A is . c) The probability that a randomly selected person reads newspaper A given that they read newspaper B is .
3. A bag contains 3 red marbles and 2 blue marbles. A marble is drawn at random, its color is noted, and it is NOT replaced. Then a second marble is drawn. What is the probability that both marbles drawn are red?
3/10
9/25
6/25
1/2
4. A rare disease affects 0.1% of the population. A test for the disease is 99% accurate (meaning if you have the disease, it will test positive 99% of the time, and if you don't have the disease, it will test negative 99% of the time). a) Construct a tree diagram to model this situation. b) What is the probability that a randomly selected person tests positive for the disease? c) If a person tests positive, what is the probability that they actually have the disease? (Round to 3 decimal places)
5. A tree diagram is only useful for independent events.
True
False