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From a sample tray, $3$ of the last $9$ cake samples chosen were chocolate. What is the experimental probability that the next piece of cake taken will be chocolate? Simplify your answer and write it as a fraction or whole number. $\newline$ $P(\text{chocolate}) = \_\_\_$

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Experimental probability

Full solution

Q. From a sample tray,

3

of the last

9

cake samples chosen were chocolate. What is the experimental probability that the next piece of cake taken will be chocolate? Simplify your answer and write it as a fraction or whole number.

\newline

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

Define Experimental Probability: To find the experimental probability of an event, we divide the number of times the event occurred by the total number of trials. In this case, the event is choosing a chocolate cake sample, and the trials are the total number of cake samples chosen.
Calculate Experimental Probability: The number of chocolate cake samples chosen is given as $3$ . The total number of cake samples chosen is $9$ . Therefore, the experimental probability of choosing a chocolate cake sample is calculated as follows: $\newline$ $P(\text{chocolate}) = \frac{\text{Number of chocolate cake samples chosen}}{\text{Total number of cake samples chosen}}$ $\newline$ $P(\text{chocolate}) = \frac{3}{9}$
Simplify Fraction: We can simplify the fraction $\frac{3}{9}$ by dividing both the numerator and the denominator by their greatest common divisor, which is $3$ . $\newline$ $P(\text{chocolate}) = \left(\frac{3 \div 3}{9 \div 3}\right)$ $\newline$ $P(\text{chocolate}) = \frac{1}{3}$

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