Chapter 3, Problem 115H

Use the following information to answer the next two exercises. This tree diagram shows the tossing of an unfair coin followed by drawing one bead from a cup containing three red (R), four yellow (1’) and five blue (B) beads. For the coin, $P\left(H\right)=\frac{2}{3}$and $P\left(T\right)=\frac{1}{3}$where H is heads and T is tails.

Figure 3.14

115. Find P(Blue bead).a. $\frac{15}{36}$

b. $\frac{10}{36}$

c. $\frac{10}{12}$

d. $\frac{6}{36}$