QUESTION IMAGE
Question
the image shows an opened package of m&ms.
the mars chocolate company decides to evenly distribute the four colors of m&ms (blue, pink, purple, and yellow) in each package. complete the following table based on the theoretical probability that the m&ms are evenly distributed. if necessary, round to the nearest tenth.
| probability | fraction | check | percent (%) | check | ---- | ---- | ---- | ---- | ---- | $p(pink)$ | × | × | $p(yellow)$ | × | × | $p(blue)$ | × | × | $p(purple)$ | × | × |
Step1: Count total color types
There are 4 color categories: blue, pink, purple, yellow.
Step2: Calculate theoretical fraction
Since evenly distributed, each color has equal probability.
$\text{Fraction} = \frac{1}{\text{Total color types}} = \frac{1}{4}$
Step3: Convert fraction to percent
$\text{Percent} = \frac{1}{4} \times 100 = 25.0\%$
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| Probability | Fraction | Percent (%) |
|---|---|---|
| $P(\text{Yellow})$ | $\frac{1}{4}$ | 25.0 |
| $P(\text{Blue})$ | $\frac{1}{4}$ | 25.0 |
| $P(\text{Purple})$ | $\frac{1}{4}$ | 25.0 |