Using coloured pens yellow and blue will help them to get a feel for the pattern as it emerges, and will also help them to collate their results. The same problem can be presented in this way: Is the proportion of games won by the Yetis Beavers the same as the probability that they will score a goal? Moving onto expected results provides a context to establish the multiplication rule in probability, and an intuitive approach to conditional probability. The initial discussion should be followed by each group getting a set of 36 results, which models a 36 week season.

But what are the odds it’s wrong? This worksheet could be used for them to record their results in a tally table. Again display the proportions on the branches of the tree diagram. Revisit the tally and any initial conjectures. Moving onto expected results provides a context to establish the multiplication rule in probability, and an intuitive approach to conditional probability. Then ask students what proportion of the 36 athletes we would expect to be taking the banned substance. To learn more about the project, see Great Expectations:

Sometimes games last only a minute or two, sometimes they seem to go on for ever. We believe that our problems provide students with contexts and structure which will enable them to do this:.

What is the probability that an athlete who is taking the substance homewofk negative? Unfortunately, he also accuses some students who are telling the truth. Revisit the tally and any initial conjectures. Thus, a total of 10 women will test positive. Once students have grasped how the multiplication rule works with the tree diagram, they could use it to show that the probabilities for obtaining three heads when tossing a coin and a total of 4 when throwing two dice can be established this way also.

Those who have difficulty in transferring the data from their tally to the tree diagram and 2-way table could be helped by doing it as a whole class discussion, hoomework large diagrams on the board, and the data either for one group, or for the whole class.

# Conditional Probability Is Important for All Students! :

Given that an athlete is not taking the banned substance, what is the probability that they test positive? What proportion of games did the Yetis Beavers win? His results are alarming.

Which Team Will Win? When students have a full set of results, they should transfer them to the tree diagram and 2-way table on this worksheet. What are the chances that a woman who tests positive actually has breast cancer? In each question, the numerator is therefore 3.

To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. Give each group one probability die if available a die with four yellow sides and two blue ones – these can be made by sticking coloured dots onto plain dice. The approach used in this problem will help to structure their understanding of the questions that can be answered from tree diagrams and homeworrk tables, and will lead them to the multiplication rule.

Every weekend, Team Beaver and Team Yeti homeework each other at 2-Goal Football – they play until two goals have been scored. When everyone has collected their data, get all groups to record their data on the worksheetand then put their pairs of cubes on hhomework large tree diagram or 2-way table. This collection of articles for teachers outlines an approach for teaching probability at secondary level.

To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. The same problem can be presented in this way: Moving onto expected results provides a context to sog the multiplication rule in probability, and an intuitive approach to conditional probability.

Age 14 to 16 Challenge Level: The initial discussion should be followed by each group getting a set homewokr 36 results, which models a 36 week season.

# Who Is Cheating? :

Nric just the drawswho scored first most often? How could you improve it, to make it more realistic? If she does not have breast cancer, the probability that she nevertheless tests positive is 9 percent.

How many of those who test positive actually have breast cancer? Does this mean they will always win?

It covers the concepts appropriate for students’ first formal lessons on probability. But what are the odds it’s wrong?

## Which Team Will Win?

What is the probability that an athlete who is not taking the substance tests positive? Otherwise, groups should be provided with one normal die – in this case 1, 2, 3 and 4 correspond to a yellow face, and 5, 6 to a blue face. Register for our mailing list.

For many students, conditional probability seems to be too hard, and pointless anyway.