Question

what is the probability of drawing a green marble out of the bag without looking?
options: $\frac{1}{6}$, $\frac{1}{5}$, $\frac{1}{3}$, $\frac{1}{2}$

Explanation:

Step1: Count total marbles

Count all marbles: $3 \text{ red} + 2 \text{ green} + 1 \text{ blue} = 6$

Step2: Count green marbles

Number of green marbles: $2$

Step3: Calculate probability

Probability = $\frac{\text{Green marbles}}{\text{Total marbles}} = \frac{2}{6} = \frac{1}{3}$

Answer:

$\boldsymbol{\frac{1}{3}}$ (Option: $\boldsymbol{\frac{1}{3}}$)