Question

if there are 4 blue beads and 5 red beads in a bag, what is the probability of drawing a blue bead? a. $\frac{1}{9}$ b. $\frac{5}{9}$ c. $\frac{4}{5}$ d. $\frac{4}{9}$

Explanation:

Step1: Calculate total number of beads

Total number of beads = number of blue beads + number of red beads = \(4 + 5=9\)

Step2: Apply probability formula

Probability of drawing a blue bead \(P=\frac{\text{Number of blue beads}}{\text{Total number of beads}}\)
Substitute values: \(P = \frac{4}{9}\)

Answer:

d. \(\frac{4}{9}\)