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Dean has worn a white shirt on $6$ of the last $18$ days. What is the experimental probability that Dean will wear a white shirt tomorrow? Simplify your answer and write it as a fraction or whole number. $\newline$ $P(\text{white}) = \_\_\_$

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Experimental probability

Full solution

Q. Dean has worn a white shirt on

6

of the last

18

days. What is the experimental probability that Dean will wear a white shirt tomorrow? Simplify your answer and write it as a fraction or whole number.

\newline

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

Identify Days Observed: Identify the total number of days observed and the number of days Dean wore a white shirt. $\newline$ Dean has worn a white shirt on $6$ days out of the last $18$ days.
Calculate Experimental Probability: Calculate the experimental probability. $\newline$ The experimental probability $P$ of an event is calculated by dividing the number of times the event has occurred by the total number of trials. $\newline$ $P(\text{white}) = \frac{\text{Number of days Dean wore a white shirt}}{\text{Total number of days observed}}$ $\newline$ $P(\text{white}) = \frac{6}{18}$
Simplify Fraction: Simplify the fraction. $\newline$ To simplify the fraction $\frac{6}{18}$ , we can divide both the numerator and the denominator by their greatest common divisor, which is $6$ . $\newline$ P(white) = $\frac{(6 \div 6)}{(18 \div 6)}$ $\newline$ P(white) = $\frac{1}{3}$

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