How Many Four-Game Series?

In the finals of a rugby tournament, two teams play a best of 5 series. Each team has a probability of 12\frac{1}{2} of winning the first game. For each subsequent game, the team that won the previous game has a 710\frac{7}{10} chance of winning, while the other team has a 310\frac{3}{10} chance of winning. If pp is the probability that the series lasts exactly 4 games, what is 1000p\lfloor 1000p \rfloor ?

Details and assumptions

Greatest Integer Function: x:RZ\lfloor x \rfloor: \mathbb{R} \rightarrow \mathbb{Z} refers to the greatest integer less than or equal to xx. For example 2.3=2\lfloor 2.3 \rfloor = 2 and 3.4=4\lfloor -3.4 \rfloor = -4.

×

Problem Loading...

Note Loading...

Set Loading...