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In her geology class, Nora learned that quartz is found naturally in a variety of colors. Nora's teacher has a giant box of colorful quartz pieces that he and his students have collected over the years. Nora picks a piece of quartz out of the box, records the color, and places it back in the box. She does this $18$ times and gets $3$ purple, $2$ yellow, $5$ white, and $8$ pink quartz pieces. $\newline$ Based on the data, what is the probability that the next piece of quartz Nora picks will be yellow? $\newline$ Write your answer as a fraction or whole number.

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Experimental probability

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Q. In her geology class, Nora learned that quartz is found naturally in a variety of colors. Nora's teacher has a giant box of colorful quartz pieces that he and his students have collected over the years. Nora picks a piece of quartz out of the box, records the color, and places it back in the box. She does this

18

times and gets

3

purple,

2

yellow,

5

white, and

8

pink quartz pieces.

\newline

Based on the data, what is the probability that the next piece of quartz Nora picks will be yellow?

\newline

Write your answer as a fraction or whole number.

Calculate Yellow Picks: First, let's figure out how many times Nora picked a yellow quartz piece. She picked yellow quartz $2$ times out of $18$ total picks.
Use Probability Formula: To find the probability that the next piece Nora picks will be yellow, we use the formula for probability: Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$ . Here, the favorable outcomes are the yellow quartz picks, and the total outcomes are the total picks.
Calculate Probability: Plugging in the numbers, we get Probability = $\frac{2}{18}$ .
Simplify Fraction: Simplifying this fraction, we divide the numerator and the denominator by their greatest common divisor, which is $2$ . So, $\frac{2}{18}$ simplifies to $\frac{1}{9}$ .

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