Answer:
[tex]P(Red) = 0.44[/tex]
Step-by-step explanation:
The question required a tree diagram (see attachment)
Required
Determine P(Red)
To do this, we simply each path that leads to red on the attached tree.
So, we have:
[tex]Red\ 1 = 0.35 * 0.6[/tex]
[tex]Red\ 2 = 0.45 * 0.2[/tex]
[tex]Red\ 3 = 0.20 * 0.7[/tex]
P(Red) is then calculated as:
[tex]P(Red) = Red\ 1 + Red\ 2 + Red\ 3[/tex]
[tex]P(Red) = 0.35 * 0.6 + 0.45 * 0.2 + 0.20 * 0.7[/tex]
[tex]P(Red) = 0.44[/tex]
Hence, the probability of selecting Red is 0.44
