8 A game is played with a fair, six-sided die which has 4 red faces and 2 blue faces. One turn consists of throwing the die repeatedly until a blue face is on top or until the die has been thrown 4 times.
- In the answer book, complete the probability tree diagram for one turn.
\includegraphics[max width=\textwidth, alt={}, center]{e5957185-5fe3-45d9-9ab3-c2aab9cbd8dd-5_314_302_1000_884} - Find the probability that in one particular turn the die is thrown 4 times.
- Adnan and Beryl each have one turn. Find the probability that Adnan throws the die more times than Beryl.
- State one change that needs to be made to the rules so that the number of throws in one turn will have a geometric distribution.