Week 20 - Probability

probability

1. To recap probability basics. 2. To work out probabilities from tree diagrams. 3. ​ To find probabilities from Two Way Tables.

Explain your answer.

Sample space

Extension questions

Extension questions

Tree diagrams

Tree diagrams

Amy and Beth are going to take a driving test tomorrow, the probability Amy will pass the test is 0.7. The probability that Beth will pass the test is 0.8. Use the probability tree shown to work out the probability that: a) Both women will pass the test. b) Only Amy will pass the test. c) Neither woman will pass the test. Draw a tree diagram to help you calculate the answers.

Tree diagrams

Amy and Beth are going to take a driving test tomorrow, the probability Amy will pass the test is 0.7. The probability that Beth will pass the test is 0.8. Use the probability tree shown to work out the probability that: a) Both women will pass the test. b) Only Amy will pass the test. c) Neither woman will pass the test. Draw a tree diagram to help you calculate the answers.

Tree diagrams

2) A bag contains 10 coloured counters, 4 of which are yellow. A box also contains 10 coloured counters, 7 of which are yellow. One counter is chosen at random from the bag and one counter is chosen at random from the box. a Copy and complete the tree diagram. b Find the probability that: i Both counters will be yellow. ii The counter from the bag will be yellow and the counter from the box will not be yellow. iii At least one counter will be yellow.

Tree diagrams

Tree diagrams

Relative frequency

Is Alan correct? Explain your answer.

60 people were asked which newspaper they’d read in the past week. The Venn diagram on the right shows their responses. A person is selected at random. Find the probability they: a) Had read the Mirror but not the Sun b) Had read at least one of the newspapers c) Had read the Sun and the Telegraph but not the Mirror

Century

Time to try some questions yourself on Century

Activity 3

What have we learned?

Helpful Resources

Powerpoint

Moodle

Youtube

Century

Here find the right nugget and watch the video or read the revision cards

Here find links to worksheets, past papers and videos

Here find links to my personal selection of useful videos

Here find links to previously made PPoints that may be helpful

THANKS

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