Tree and Venn Diagrams · Exercise 2

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(tossing a Head on the coin AND a Red bead)

(a) $\frac{2}{3}$
(b) $\frac{5}{15}$
(c) $\frac{6}{36}$
(d) $\frac{5}{36}$

Its source prints no answer for this problem, so there's nothing to check against.

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