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# Group Work Case Study: Probability Questions

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John decides to set up a music group with his even best friends. The group will work only if at least five of his friends can join. Using simulation, answer the following:
1. If John thinks that there is a 50% chance that each of his friends will join the group, can you estimate the probability of getting at least five friends to join the group?
2. What is the most likely size of the group?
3. Is John too ambitious in planning a group of at least five?

##### Solution Summary

The expert estimates the probability of getting at least five friends to join the group.

##### Solution Preview

Solution:

(i) There is a 50% chance that each of his friends will join the group or we can say that probability that a friend will join the group is ½.
The probability that ...

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