Question

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.

Answer 1

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

`P(\text{selecting one game)=}(1)/(11)`

Probability of selecting the hockey game is

`P(\text{selecting hockey game)=}(4)/(11)`

So, probability that the selected game is hockey game

`\begin{gathered} \text{Probability =P(selecting one game)P(selcting hockey game)} \\ \text{Probability}=(1)/(11)*(4)/(11) \\ Probability=(4)/(121) \end{gathered}`

Answer : 4/121