Question

1. 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. $\frac{4}{5}$
c. $\frac{5}{9}$
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: Use probability formula

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

Answer:

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