Question

In a tennis tournament, the final contest will be played between two players, Beto and Enrique....

In a tennis tournament, the final contest will be played between two
players, Beto and Enrique. Betting names favor
Enrique in 1: 3 (this means that of 4 games made, it is expected
May Beto win 1 and Enrique 3). The rule to define the end of the
tournament championship is that games are played until a
winner. A winner will emerge when:
1. One of the two manages to accumulate three games won.
The winner will be the one who manages to get those three wins
First.
2. One of the two manages to win two games in a row.
The winner will be the one who managed to win two games
followed.

a) What is the probability that Beto will win the tournament? (consider all)
the possibilities, it is suggested to make a tree diagram)
b) Under current rules, what is the expected number of games
that the tournament lasts?

Math   Statistics-And-Probability   
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