Respuesta :
From the information below the games is over in 3 sets. For Gina to win the match there are 3 possibilities.
1) Gina wins the first 2 sets with probability
2)Gina wins the first set. Looses the next set. Wins the third set.
3)Gina looses the first set. Wins the next 2 sets.
The required probability that Gina wins is the sum of the above 3 probabilities . That is the probability that Gina wins the match is
Answer:[tex] P=\frac{9+4}{25}=\frac{13}{25}[/tex]
Step-by-step explanation:
Given
Fred has a chance of 3/5 to win
and Gina has a chance of 2/5 to win
Probability(P) that the match is decided in only two sets is when
Either Fred or Gina win both matches continuously
P=P(Fred win both match)+P(Gina win both match)
[tex]P=\frac{3\times 3}{5\times 5}+\frac{2\times 2}{5\times 5}[/tex]
[tex] P=\frac{9+4}{25}=\frac{13}{25}[/tex]
