Answer:
0.24
Step-by-step explanation:
From the information given:
Let's have a schematic view of a tree diagram
A
P(Santa Cruz) P(Isabella)
= 13/15 = 2/15
P(Success | Santa Cruz) = 0.09 P(Success | Isabella) = x
We are told that many have tried to locate the giant turtle, but 89% of them have failed.
This means the probability of success is:
P(success) = 1 - 0.89 = 0.11
We need to find P(Success | Isabella),
Suppose P(Success | Isabella) be x as shown above,
Then:
P (Success) = P(Santa) P((Success | Santa Cruz) + P(Isabella) P(Success | Isabella)
make x the subject of the formula:
x = 0.032/0.133
x = 0.24