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. What can you say about the proportion of false positives that is, athletes who test positive even though they have not taken the banned substance? Exploring all these forms of questions in this way enables students to investigate data in order to answer worthwhile questions such as ‘If a person tests postive for cancer, what is the probability that they are actually suffering from cancer? Sometimes games last only a minute or two, sometimes they seem to go on for ever. It would also be good to reinforce that each set of branches on a tree diagram provides a single outcome, and that the complete set of branches provides the only possible outcomes, each of which is mutually exclusive. How many of those who test positive actually have breast cancer?

Every weekend, Team Beaver and Team Yeti play each other at 2-Goal Football – they play until two goals have been scored. What proportion would we expect them to win? What do you think would happen if the Yetis were three times as likely to score as the Beavers? Considering just the draws , who scored first most often? Age 11 to 14 Challenge Level:

But what are the odds it’s wrong? Then get them to collect data – pairs of multi-link cubes – for 36 athletes.

# The Dog Ate My Homework! :

Register for our mailing list. Think of women. All students should be able to carry out the experiment, once they have understood the scenario and done one or more initial trials all together. Given that an athlete is not taking the banned substance, what is the probability that they test positive?

It is designed for classroom use; see the Teachers’ Resources for a nnrich classroom approach. If that’s how it’s taught, then yes, it is dry, apparently pointless, and difficult to justify spending time and effort on.

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 homewoork their results. Are any of the results in the tally interesting or surprising? The game is deliberately set up so that Team Yeti are more likely to score than Team Beaver. The chance that even a well-informed person calculates this probability correctly from information presented in this form is not high.

So what are the chances that someone who is accused is actually telling the truth? Does the evidence support them or suggest that they should be discarded?

It covers the concepts appropriate for students’ first formal lessons on probability. Take the students through the scenario for one athlete – more as necessary.

# The ELISA Test :

Age 11 to 16 Challenge Level: Put students into groups of 3 or 4, and have each group collect the equipment they need. Register for our mailing list. Age 14 to 16 Challenge Level: The probability that a woman of age 40 has breast cancer is about 1 percent. This Sample Space worksheet will help students to identify correctly all the possible outcomes, and to see how many give the required result.

Moving onto expected results provides a context to establish the multiplication rule in probability, and an intuitive approach to conditional probability.

## The Dog Ate My Homework!

Jomework than drawing attention to this, give students a chance to observe that the game “isn’t fair”, and use this to discuss that perhaps Team Yeti are a much stronger team Is the proportion of games won by the Yetis Beavers the same as the probability that they will score a goal? How likely are you to be chosen? The Sample Space worksheet will help those who find it difficult to calculate the probabilities from the experiment.

Unfortunately, brich also accuses some students who are telling the truth.

Thus, a total of 10 women will test positive. When students have a full set of results, they should transfer them to the tree diagram and 2-way table on this worksheet. A practical experiment which uses tree diagrams to help dof understand the nature of questions in conditional probability.

Exploring all these forms of questions in this way enables students to investigate data in order to answer worthwhile questions such as ‘If a person tests postive for cancer, what is hoemwork probability that they are actually suffering from cancer? To learn more about the project, see Great Expectations: The football game is limited to exactly two goals, so that modelling it is straight-forward.

How would this change the expected results?