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 brown, green, or silver fingerboard is chosen. a brown fingerboard is chosen. a b c d e

Explanation:

Step1: Calculate total fingerboards

$8 + 4 + 4 = 16$

Step2: Find P(brown fingerboard)

$\text{Probability} = \frac{\text{Number of brown fingerboards}}{\text{Total fingerboards}} = \frac{8}{16} = \frac{1}{2}$

Step3: Find P(brown/green/silver)

This is a certain event (all fingerboards are one of these colors), so $\text{Probability} = 1$

Step4: Match to number line

• $\frac{1}{2}$ corresponds to point $C$
• $1$ corresponds to point $E$

Answer:

1. For "A brown fingerboard is chosen": Point $C$
2. For "A brown, green, or silver fingerboard is chosen": Point $E$