Tree and Venn Diagrams · Exercise 3

This tree diagram shows the tossing of an unfair coin followed by drawing one bead from a cup containing three red (R), four yellow (Y) and five blue (B) beads. For the coin, P(H) = $\frac{2}{3}$ and P(T) = $\frac{1}{3}$ where H is heads and T is tails.

Find P(Blue bead).

(a) $\frac{15}{36}$
(b) $\frac{10}{36}$
(c) $\frac{10}{12}$
(d) $\frac{6}{36}$

OpenStax, Introductory Statistics 2e · §3.5 Tree and Venn Diagrams · Exercise 3