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A grocery store recently sold $10$ cans of soup, $5$ of which were lentil soup. What is the experimental probability that the next can sold will be lentil soup? Simplify your answer and write it as a fraction or whole number. $\newline$ $P(\text{lentil}) = \_\_\_$

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Experimental probability

Full solution

Q. A grocery store recently sold

10

cans of soup,

5

of which were lentil soup. What is the experimental probability that the next can sold will be lentil soup? Simplify your answer and write it as a fraction or whole number.

\newline

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

Define Experimental Probability: The experimental probability is based on the outcomes of past events. In this case, we are given that out of $10$ cans sold, $5$ were lentil soup. To find the experimental probability of selling a lentil soup can next, we divide the number of lentil soup cans sold by the total number of cans sold. $\newline$ Calculation: $P(\text{lentil}) = \frac{\text{Number of lentil soup cans sold}}{\text{Total number of cans sold}} = \frac{5}{10}$
Calculate Experimental Probability: We can simplify the fraction $\frac{5}{10}$ by dividing both the numerator and the denominator by their greatest common divisor, which is $5$ . Calculation: Simplified $P(\text{lentil}) = \frac{(5 \div 5)}{(10 \div 5)} = \frac{1}{2}$

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