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There are 5 teams in League A and 5 teams in League B. The best team in League A will play the best team in League B for the championship at the end of the season. The people in Paul's office are placing bets on which teams will make it to the championship. Paul knows nothing about the teams, but he wants to place a bet anyway. What is the probability that he will correctly predict the two teams to play in the championship just by guessing

Respuesta :

Answer:

4% probability that he will correctly predict the two teams to play in the championship just by guessing

Step-by-step explanation:

A probability is the number of desired outcomes, divided by the number of total outcomes.

League A:

5 teams, he will predict one to be champion. So

[tex]P(A) = \frac{1}{5}[/tex]

League B:

5 teams, he will predict one to be champion. So

[tex]P(B) = \frac{1}{5}[/tex]

What is the probability that he will correctly predict the two teams to play in the championship just by guessing

[tex]P(A \cap B) = P(A)*P(B) = \frac{1}{5}*\frac{1}{5} = \frac{1}{25} = 0.04[/tex]

4% probability that he will correctly predict the two teams to play in the championship just by guessing