## Exam-Style Question on Binomial Distribution## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 7. This question is similar to one that appeared on an IB Standard paper in 2010. The use of a calculator is allowed.

At the south end of Playfair Amusement park are two games of chance, Beat The Goalie and Basketball Bounce.

For the Goalie game, the probability of winning is 0.1. If someone plays this game nine times:

(a) Find the probability that they win exactly three times.

For the Basketball game, the probability of winning is \(x\). If someone plays it nine times.

(b) Write down an ex

(c) Hence, find the values of \(x\) such that the probability of winning exactly three games is 0.2.

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If you are using a TI-nSpire CX calculator and you would like to see an example of the process used in this question see GDC Essentials.

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