(i)[1]
Find the probability that Ben is champion after exactly 2 games.
(ii)[3]
Find the probability that Ben ends up as the champion.
(iii)[4]
Given that Tom has become the champion, find the probability that he won the 2nd game.
Mathematics 9709 · AS & A Level · The Poisson distribution
The Poisson distribution — practice question
Tom and Ben keep playing the game again and again. The chance that Tom wins a single game is 0.3. Every game is won by exactly one of Tom or Ben. They stop once either player, called the champion, has won two games.