Question

a bowl contains 12 beads. 4 of them are blue. if one is randomly drawn, what is the probability that it is blue? p(blue) =? /? give your answer as a fraction in simplest form.

Explanation:

Step1: Identify favorable and total outcomes

Favorable (blue beads): 4; Total beads: 12
Probability formula: $P(\text{blue}) = \frac{\text{Number of blue beads}}{\text{Total number of beads}} = \frac{4}{12}$

Step2: Simplify the fraction

Divide numerator and denominator by GCD(4,12)=4: $\frac{4\div4}{12\div4} = \frac{1}{3}$

Answer:

$\frac{1}{3}$