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Through ten games of basketball this season, Nathaniel has made 3 out of 15 of his free-throws. Which word or phrase describes the probability that Nathaniel will hit his next free throw?
unlikely
an equal chance or 
50-50
impossible
certain

Through ten games of basketball this season, Nathaniel has made 33 out of 1515 of his free-throws. Which word or phrase describes the probability that Nathaniel will hit his next free throw?\newlineunlikely\newlinean equal chance or 5050 50-50 \newlineimpossible\newlinecertain

Full solution

Q. Through ten games of basketball this season, Nathaniel has made 33 out of 1515 of his free-throws. Which word or phrase describes the probability that Nathaniel will hit his next free throw?\newlineunlikely\newlinean equal chance or 5050 50-50 \newlineimpossible\newlinecertain
  1. Determine Success Rate: Determine Nathaniel's free-throw success rate.\newlineNathaniel has made 33 out of 1515 free-throws. To find his success rate, we divide the number of successful free-throws by the total number of free-throws attempted.\newlineSuccess rate = Number of successful free-throws // Total number of free-throws attempted\newlineSuccess rate = 3/153 / 15
  2. Simplify Fraction: Simplify the fraction to find the probability. \newline315\frac{3}{15} can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 33.\newlineSimplified probability = (3÷315÷3)\left(\frac{3 \div 3}{15 \div 3}\right)\newlineSimplified probability = 15\frac{1}{5}
  3. Interpret Probability: Interpret the probability.\newlineA probability of 11 out of 55 indicates that it is unlikely that Nathaniel will hit his next free throw, as he has a lower chance of making the shot than missing it.

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