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$\left(\mathrm{R}\right)$,four yellow$\left(\mathrm{Y}\right)$and five blue$\left(\mathrm{B}\right)$beads. For the coin, and$\mathrm{P}\left(\mathrm{H}\right)=\frac{2}{3}$and$\mathrm{P}\left(\mathrm{T}\right)=\frac{1}{3}$where$\mathrm{H}$is heads and$\mathrm{T}$is tails .

Find $\mathrm{P}$(Blue bead).

a.$\frac{15}{36}$

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

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

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

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