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

Question id: 457. This question is similar to one that appeared on an IB AI Standard paper (specimen) for 2021. The use of a calculator is allowed.

Bostock and Chandler play one game of Ultimate Noughts and Crosses online each day they are in quarantine.

The probability that Bostock wins a game is three times the probability that Chandler wins a game. It is not possible to have a draw.

(a) Find the probability that on any given day Bostock will win the game.

The quarantine lasts for 30 days.

(b) Find the probability the Bostock will win 20 times.

(c) Find the probability Chandler will win at most 9 times.

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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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