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Of the $18$ people who have signed up for a genetics lecture, $8$ have hazel eyes. What is the experimental probability that the next person to sign up will have hazel eyes? $\newline$ Simplify your answer and write it as a fraction or whole number. $\newline$ $P(\text{hazel}) = \_\_\_\_$

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Experimental probability

Full solution

Q. Of the

18

people who have signed up for a genetics lecture,

8

have hazel eyes. What is the experimental probability that the next person to sign up will have hazel eyes?

\newline

Simplify your answer and write it as a fraction or whole number.

\newline

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

Define Experimental Probability: The experimental probability is based on the outcomes that have already occurred. In this case, we have information about the eye color of the $18$ people who have already signed up for the lecture. To find the experimental probability that the next person to sign up will have hazel eyes, we will use the number of people with hazel eyes and the total number of people who have signed up.
Calculate Experimental Probability: We are given that $8$ out of the $18$ people who have signed up have hazel eyes. The experimental probability, $P(\text{hazel})$ , is therefore the number of people with hazel eyes divided by the total number of people who have signed up. $\newline$ $P(\text{hazel}) = \frac{\text{Number of people with hazel eyes}}{\text{Total number of people signed up}}$ $\newline$ $P(\text{hazel}) = \frac{8}{18}$
Simplify Fraction: To simplify the fraction, we look for the greatest common divisor of $8$ and $18$ , which is $2$ . We divide both the numerator and the denominator by $2$ to simplify the fraction. $\newline$ $P(\text{hazel}) = (\frac{8}{2}) / (\frac{18}{2})$ $\newline$ $P(\text{hazel}) = \frac{4}{9}$

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