Question

a paper bag has the following marbles: 2 purple, 9 turquoise, 5 green. what is the probability of choosing a purple marble? select all that apply. a) $\frac{2}{16}$ b) $\frac{1}{7}$ c) $\frac{1}{8}$ d) 0.125 e) 12.5% f) 14.2%

Explanation:

Step1: Calculate total marbles

$2 + 9+5=16$

Step2: Calculate probability of purple marble

The probability $P$ of choosing a purple marble is the number of purple marbles divided by the total number of marbles. So $P=\frac{2}{16}$.

Step3: Simplify the fraction

$\frac{2}{16}=\frac{1}{8}$

Step4: Convert to decimal

$\frac{1}{8}=0.125$

Step5: Convert to percentage

$0.125\times100\% = 12.5\%$

Answer:

C. $\frac{1}{8}$, D. $0.125$, E. $12.5\%$