Hector is a baseball fan but wants to watch something different. There are 5 basketball games, 2 football games, and 4 hockey games that he can choose to watch. If Hector randomly chooses a game, what is the probability that it is a basketball game?Give your answer as a simplified fraction.

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SOLUTION:

Case: Probability

Given:

5 basketball games

2 football games

4 hockey games

Required: To get the probability that it is a basketball game Hector chooses at random

Method:

Step 1: We get the possible total outcomes

Total outcomes = 5 + 2 + 4

Total outcomes = 11

Step 2: Then we get the required outcomes (Basketball)

Required outcome= 5

Step 3: The probability that it is a basketball game

[tex]\begin{gathered} Pr(BasketBall)=\frac{n(BasketBall)}{TotalOutcomes} \\ Pr(BasketBall)=\frac{5}{11} \end{gathered}[/tex]

Final answer:

The Probability that it is a basketball game is

5/11

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