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Chapter 3: Q.114 (page 230)

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 (Y) and five blue (B) beads. For the coin, P(H)=23and P(T)=13where H is heads and T is tails.

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

a. 23

b. 515

c. 636

d. 536

Short Answer

Expert verified

c.636

Step by step solution

01

Given information

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.

02

Explanation 

From the given information, the Probability of tossing a Head on the coin AND a Red bead:

P(tossingaHeadANDaRedbead)=P(tossingaHead).P(aRedbead)P(tossingaHeadANDaRedbead)=23×312=636

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