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erick has a collection of 8 brown fingerboards, 4 green fingerboards, a…

Question

erick has a collection of 8 brown fingerboards, 4 green fingerboards, and 4 silver fingerboards. he chooses one at random. locate the probability of the following events on the number line. a green fingerboard is chosen. options: a, b, c, d, e number line with points a (0), b, c ($\frac{1}{2}$), d, e (1)

Explanation:

Step1: Calculate total fingerboards

$8 + 4 + 4 = 16$

Step2: Find probability of green fingerboard

$\text{Probability} = \frac{\text{Number of green fingerboards}}{\text{Total fingerboards}} = \frac{4}{16} = \frac{1}{4}$

Step3: Locate on number line

The number line has 0 at A, $\frac{1}{2}$ at C, 1 at E. $\frac{1}{4}$ is halfway between 0 and $\frac{1}{2}$, which corresponds to point B.

Answer:

B