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Question
mason practiced basketball free throws and kept track of the results in the table. he says the experimental probability of making a free throw is $\frac{2}{3}$. what is masons error? free throws made: 12, free throws missed: 18. options: mason compared the number of free throws missed to the total number of free throws attempted. mason compared the number of free throws made to the total number of free throws attempted. mason compared the number of free throws made to the number of free throws missed. mason compared the number of free throws attempted to the difference between the number made and the number missed.
Step1: Recall probability formula
The experimental probability of making a free - throw is $\frac{\text{Number of free throws made}}{\text{Total number of free throws attempted}}$. The total number of free throws attempted is the sum of free throws made and free throws missed, i.e., $12 + 18=30$. The correct probability of making a free - throw is $\frac{12}{30}=\frac{2}{5}$, not $\frac{2}{3}$.
Step2: Analyze Mason's error
Mason compared the number of free throws made ($12$) to the number of free throws missed ($18$), getting $\frac{12}{18}=\frac{2}{3}$.
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Mason compared the number of free throws made to the number of free throws missed.