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

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02-11-2022
Mathematics

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

Sagot :

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RosabellaF257897idn RosabellaF257897idn · Answer 1 · 2022-11-02T23:49:47-04:00

Total number of basket ball games =5

Number of footballs games=2

Number of hockey games=4

Total numbe of games =5+2+4

Total number of games = 11

Probability of selecting one game out of 11 games is

[tex]P(\text{selecting one game)=}\frac{1}{11}[/tex]

Probability of selecting the hockey game is

[tex]P(\text{selecting hockey game)=}\frac{4}{11}[/tex]

So, probability that the selected game is hockey game

[tex]\begin{gathered} \text{Probability =P(selecting one game)P(selcting hockey game)} \\ \text{Probability}=\frac{1}{11}\times\frac{4}{11} \\ Probability=\frac{4}{121} \end{gathered}[/tex]

Answer : 4/121

Sagot :

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