While working for Life magazine, Archie is assigned to the Galapagos Islands to

Question

While working for Life magazine, Archie is assigned to the Galapagos Islands to photograph a rare, giant white turtle. The turtle can be found either on Isabella, the largest of the 16 Galapagos islands, or on Santa Cruz, the next largest island. Many have tried to locate the giant turtle, but 86% of them have failed. In addition, 1 out of every 2 searches in the past were concentrated on Santa Cruz, though only 13% of them were actually successful. Archie intends to search on Isabella. What is the probability that Archie will successfully find the turtle? Round your answer to two decimal places.

Explanation / Answer

Choosing Isabella probability = 0.5

Now, finding turtle their in Santa cruz

p= 0.13

probability of over all failure = 0.86

probability of over all failure= prob of failure in Isabella + prob of failure in Santa

0.86= 0.5*a+0.5*0.87

a=0.85

probability of sucess of finding turtle in Isabella = 1-0.85

=0.15

15 % chance

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