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At a glass vase factory, $2$ out of the last $10$ vases produced were chipped. What is the experimental probability that the next vase will be chipped? Simplify your answer and write it as a fraction or whole number. $\newline$ $P(\text{chipped}) = \_\_\_\_$

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Experimental probability

Full solution

Q. At a glass vase factory,

2

out of the last

10

vases produced were chipped. What is the experimental probability that the next vase will be chipped? Simplify your answer and write it as a fraction or whole number.

\newline

P(\text{chipped}) = \_\_\_\_

Calculate Experimental Probability: The experimental probability is calculated by dividing the number of times an event occurs by the total number of trials. In this case, the event is a vase being chipped, and the trials are the last $10$ vases produced.
Identify Event and Trials: We are given that $2$ out of the last $10$ vases were chipped. So, the experimental probability of a vase being chipped is $2$ chipped vases out of $10$ total vases.
Express Probability as Fraction: To express this probability as a fraction, we write it as $\frac{2}{10}$ . This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ .
Simplify Fraction: After simplifying, we get $\frac{2}{10} = \frac{1}{5}$ . Therefore, the experimental probability that the next vase will be chipped is $\frac{1}{5}$ .

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