6. (Probability Tree Diagram) 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) = 2/3 and P(T) =1/3 where H is heads and Tis tails. R 12 H B R 12 12 Normal B (a) Find P(tossing a Head on the coin AND a Red bead). (b) Find P(Blue bead) (c) Find P(Head | Red bead) 2/3 H/3

Question

answers to part 6 ( a to c)

6. (Probability Tree Diagram) 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) =
2/3 and P(T) =1/3 where H is heads and Tis tails.
R
12
H
B
R
12
12
Normal
B
(a) Find P(tossing a Head on the coin AND a Red bead).
(b) Find P(Blue bead)
(c) Find P(Head | Red bead)
2/3
H/3
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Transcribed Image Text

6. (Probability Tree Diagram) 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) = 2/3 and P(T) =1/3 where H is heads and Tis tails. R 12 H B R 12 12 Normal B (a) Find P(tossing a Head on the coin AND a Red bead). (b) Find P(Blue bead) (c) Find P(Head | Red bead) 2/3 H/3