Hey
If the odds in favor of Boris beating Elena in a chess game are 5 to 4, what is the probability that Elena will win an upset victory in a best-of-five chess tournament?
Can someone give me an answer with explanation Plz.
Thanx
Hey
If the odds in favor of Boris beating Elena in a chess game are 5 to 4, what is the probability that Elena will win an upset victory in a best-of-five chess tournament?
Can someone give me an answer with explanation Plz.
Thanx
Hello, ballin_sensation!
The probability of Elena winning a game is . . . of losing,If the odds in favor of Boris beating Elena in a chess game are 5 to 4, what is the
probability that Elena will win an upset victory in a best-of-five chess tournament?
There are three ways in which she can win three games.
(1) She wins the first three games:
. . .
(2) She wins two of the first three games, then wins the fourth game.
. . .
(3) She wins two of the first four games, then wins the fifth game.
. . .
Therefore: .
This seems like a binomial probabilility so
the prob of x successes in n trials is
where P is the prob of success
since we want an upset victory she needs to win 3,4, or 5 games
so we can add P(3) +P(4)+P(5) or take 1 -P(0)-P(1)-P(2)
Now lets set up the formula:
The odds are 5 to 4 against her so
and they are playing the best of 5 so
so P(3)+P(4)+P(5)